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Finding the Fourth Proportional to 648.65, 972.87 and 237.79

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Solution

The fourth proportional to 648.65, 972.87 and 237.79 is: 356.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.65 : 972.87 = 237.79 : x
  2. Step 2: Convert to fraction form
    648.65/972.87 = 237.79/x
  3. Step 3: Cross multiply
    648.65x = 972.87 × 237.79
  4. Step 4: Simplify right side
    648.65x = 231,338.76
  5. Step 5: Solve for x
    x = 231,338.76/648.65
  6. Step 6: Final answer
    x = 356.65

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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.