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Finding the Fourth Proportional to 954.80, 1,432.08 and 252.08

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Solution

The fourth proportional to 954.80, 1,432.08 and 252.08 is: 378.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.80 : 1,432.08 = 252.08 : x
  2. Step 2: Convert to fraction form
    954.80/1,432.08 = 252.08/x
  3. Step 3: Cross multiply
    954.80x = 1,432.08 × 252.08
  4. Step 4: Simplify right side
    954.80x = 360,998.73
  5. Step 5: Solve for x
    x = 360,998.73/954.80
  6. Step 6: Final answer
    x = 378.09

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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.