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Finding the Fourth Proportional to 532.32, 732.54 and 436.92

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Solution

The fourth proportional to 532.32, 732.54 and 436.92 is: 601.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.32 : 732.54 = 436.92 : x
  2. Step 2: Convert to fraction form
    532.32/732.54 = 436.92/x
  3. Step 3: Cross multiply
    532.32x = 732.54 × 436.92
  4. Step 4: Simplify right side
    532.32x = 320,061.38
  5. Step 5: Solve for x
    x = 320,061.38/532.32
  6. Step 6: Final answer
    x = 601.26

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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.