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Finding the Fourth Proportional to 650.52, 975.92 and 280.12

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Solution

The fourth proportional to 650.52, 975.92 and 280.12 is: 420.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.52 : 975.92 = 280.12 : x
  2. Step 2: Convert to fraction form
    650.52/975.92 = 280.12/x
  3. Step 3: Cross multiply
    650.52x = 975.92 × 280.12
  4. Step 4: Simplify right side
    650.52x = 273,374.71
  5. Step 5: Solve for x
    x = 273,374.71/650.52
  6. Step 6: Final answer
    x = 420.24

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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.