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Finding the Fourth Proportional to 676.78, 934.01 and 490.21

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Solution

The fourth proportional to 676.78, 934.01 and 490.21 is: 676.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.78 : 934.01 = 490.21 : x
  2. Step 2: Convert to fraction form
    676.78/934.01 = 490.21/x
  3. Step 3: Cross multiply
    676.78x = 934.01 × 490.21
  4. Step 4: Simplify right side
    676.78x = 457,861.04
  5. Step 5: Solve for x
    x = 457,861.04/676.78
  6. Step 6: Final answer
    x = 676.53

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Double scale
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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.