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Finding the Fourth Proportional to 353.60, 532.40 and 257.60

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Solution

The fourth proportional to 353.60, 532.40 and 257.60 is: 387.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.60 : 532.40 = 257.60 : x
  2. Step 2: Convert to fraction form
    353.60/532.40 = 257.60/x
  3. Step 3: Cross multiply
    353.60x = 532.40 × 257.60
  4. Step 4: Simplify right side
    353.60x = 137,146.24
  5. Step 5: Solve for x
    x = 137,146.24/353.60
  6. Step 6: Final answer
    x = 387.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.