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Finding the Fourth Proportional to 597.51, 824.11 and 432.27

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Solution

The fourth proportional to 597.51, 824.11 and 432.27 is: 596.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.51 : 824.11 = 432.27 : x
  2. Step 2: Convert to fraction form
    597.51/824.11 = 432.27/x
  3. Step 3: Cross multiply
    597.51x = 824.11 × 432.27
  4. Step 4: Simplify right side
    597.51x = 356,236.95
  5. Step 5: Solve for x
    x = 356,236.95/597.51
  6. Step 6: Final answer
    x = 596.20

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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.