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Finding the Fourth Proportional to 650, 974.64 and 239.04

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Solution

The fourth proportional to 650, 974.64 and 239.04 is: 358.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    650 : 974.64 = 239.04 : x
  2. Step 2: Convert to fraction form
    650/974.64 = 239.04/x
  3. Step 3: Cross multiply
    650x = 974.64 × 239.04
  4. Step 4: Simplify right side
    650x = 232,977.95
  5. Step 5: Solve for x
    x = 232,977.95/650
  6. Step 6: Final answer
    x = 358.43

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Why These Related Problems?

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