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Finding the Fourth Proportional to 424.24, 634.88 and 355.84

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Solution

The fourth proportional to 424.24, 634.88 and 355.84 is: 532.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.24 : 634.88 = 355.84 : x
  2. Step 2: Convert to fraction form
    424.24/634.88 = 355.84/x
  3. Step 3: Cross multiply
    424.24x = 634.88 × 355.84
  4. Step 4: Simplify right side
    424.24x = 225,915.70
  5. Step 5: Solve for x
    x = 225,915.70/424.24
  6. Step 6: Final answer
    x = 532.52

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