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Finding the Fourth Proportional to 676.52, 932.22 and 466.76

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Solution

The fourth proportional to 676.52, 932.22 and 466.76 is: 643.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.52 : 932.22 = 466.76 : x
  2. Step 2: Convert to fraction form
    676.52/932.22 = 466.76/x
  3. Step 3: Cross multiply
    676.52x = 932.22 × 466.76
  4. Step 4: Simplify right side
    676.52x = 435,123.01
  5. Step 5: Solve for x
    x = 435,123.01/676.52
  6. Step 6: Final answer
    x = 643.18

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.