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Finding the Fourth Proportional to 648.33, 972.62 and 237.74

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Solution

The fourth proportional to 648.33, 972.62 and 237.74 is: 356.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.33 : 972.62 = 237.74 : x
  2. Step 2: Convert to fraction form
    648.33/972.62 = 237.74/x
  3. Step 3: Cross multiply
    648.33x = 972.62 × 237.74
  4. Step 4: Simplify right side
    648.33x = 231,224.63
  5. Step 5: Solve for x
    x = 231,224.63/648.33
  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.