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Finding the Fourth Proportional to 424.53, 585.92 and 354.49

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Solution

The fourth proportional to 424.53, 585.92 and 354.49 is: 489.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.53 : 585.92 = 354.49 : x
  2. Step 2: Convert to fraction form
    424.53/585.92 = 354.49/x
  3. Step 3: Cross multiply
    424.53x = 585.92 × 354.49
  4. Step 4: Simplify right side
    424.53x = 207,702.20
  5. Step 5: Solve for x
    x = 207,702.20/424.53
  6. Step 6: Final answer
    x = 489.25

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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.