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Finding the Fourth Proportional to 597.24, 824.31 and 432

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Solution

The fourth proportional to 597.24, 824.31 and 432 is: 596.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.24 : 824.31 = 432 : x
  2. Step 2: Convert to fraction form
    597.24/824.31 = 432/x
  3. Step 3: Cross multiply
    597.24x = 824.31 × 432
  4. Step 4: Simplify right side
    597.24x = 356,101.92
  5. Step 5: Solve for x
    x = 356,101.92/597.24
  6. Step 6: Final answer
    x = 596.25

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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.