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Finding the Fourth Proportional to 648.46, 972.83 and 237.61

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Solution

The fourth proportional to 648.46, 972.83 and 237.61 is: 356.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.46 : 972.83 = 237.61 : x
  2. Step 2: Convert to fraction form
    648.46/972.83 = 237.61/x
  3. Step 3: Cross multiply
    648.46x = 972.83 × 237.61
  4. Step 4: Simplify right side
    648.46x = 231,154.14
  5. Step 5: Solve for x
    x = 231,154.14/648.46
  6. Step 6: Final answer
    x = 356.47

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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.