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Finding the Fourth Proportional to 617.32, 924.70 and 424.04

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Solution

The fourth proportional to 617.32, 924.70 and 424.04 is: 635.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.32 : 924.70 = 424.04 : x
  2. Step 2: Convert to fraction form
    617.32/924.70 = 424.04/x
  3. Step 3: Cross multiply
    617.32x = 924.70 × 424.04
  4. Step 4: Simplify right side
    617.32x = 392,109.79
  5. Step 5: Solve for x
    x = 392,109.79/617.32
  6. Step 6: Final answer
    x = 635.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.