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Finding the Fourth Proportional to 617.04, 924 and 496.08

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Solution

The fourth proportional to 617.04, 924 and 496.08 is: 742.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.04 : 924 = 496.08 : x
  2. Step 2: Convert to fraction form
    617.04/924 = 496.08/x
  3. Step 3: Cross multiply
    617.04x = 924 × 496.08
  4. Step 4: Simplify right side
    617.04x = 458,377.92
  5. Step 5: Solve for x
    x = 458,377.92/617.04
  6. Step 6: Final answer
    x = 742.87

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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.