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Finding the Fourth Proportional to 522.32, 721.17 and 392.04

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Solution

The fourth proportional to 522.32, 721.17 and 392.04 is: 541.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.32 : 721.17 = 392.04 : x
  2. Step 2: Convert to fraction form
    522.32/721.17 = 392.04/x
  3. Step 3: Cross multiply
    522.32x = 721.17 × 392.04
  4. Step 4: Simplify right side
    522.32x = 282,727.49
  5. Step 5: Solve for x
    x = 282,727.49/522.32
  6. Step 6: Final answer
    x = 541.30

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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.