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Finding the Fourth Proportional to 498.98, 688.50 and 424.60

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Solution

The fourth proportional to 498.98, 688.50 and 424.60 is: 585.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.98 : 688.50 = 424.60 : x
  2. Step 2: Convert to fraction form
    498.98/688.50 = 424.60/x
  3. Step 3: Cross multiply
    498.98x = 688.50 × 424.60
  4. Step 4: Simplify right side
    498.98x = 292,337.10
  5. Step 5: Solve for x
    x = 292,337.10/498.98
  6. Step 6: Final answer
    x = 585.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.