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Finding the Fourth Proportional to 658.08, 984.96 and 632.16

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Solution

The fourth proportional to 658.08, 984.96 and 632.16 is: 946.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.08 : 984.96 = 632.16 : x
  2. Step 2: Convert to fraction form
    658.08/984.96 = 632.16/x
  3. Step 3: Cross multiply
    658.08x = 984.96 × 632.16
  4. Step 4: Simplify right side
    658.08x = 622,652.31
  5. Step 5: Solve for x
    x = 622,652.31/658.08
  6. Step 6: Final answer
    x = 946.17

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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.