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Finding the Fourth Proportional to 712.27, 983.10 and 432.52

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Solution

The fourth proportional to 712.27, 983.10 and 432.52 is: 596.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.27 : 983.10 = 432.52 : x
  2. Step 2: Convert to fraction form
    712.27/983.10 = 432.52/x
  3. Step 3: Cross multiply
    712.27x = 983.10 × 432.52
  4. Step 4: Simplify right side
    712.27x = 425,210.41
  5. Step 5: Solve for x
    x = 425,210.41/712.27
  6. Step 6: Final answer
    x = 596.98

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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.