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Finding the Fourth Proportional to 617.31, 924.80 and 494.16

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Solution

The fourth proportional to 617.31, 924.80 and 494.16 is: 740.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.31 : 924.80 = 494.16 : x
  2. Step 2: Convert to fraction form
    617.31/924.80 = 494.16/x
  3. Step 3: Cross multiply
    617.31x = 924.80 × 494.16
  4. Step 4: Simplify right side
    617.31x = 456,996.70
  5. Step 5: Solve for x
    x = 456,996.70/617.31
  6. Step 6: Final answer
    x = 740.30

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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.