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Finding the Fourth Proportional to 648.27, 972.45 and 237.51

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Solution

The fourth proportional to 648.27, 972.45 and 237.51 is: 356.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.27 : 972.45 = 237.51 : x
  2. Step 2: Convert to fraction form
    648.27/972.45 = 237.51/x
  3. Step 3: Cross multiply
    648.27x = 972.45 × 237.51
  4. Step 4: Simplify right side
    648.27x = 230,966.60
  5. Step 5: Solve for x
    x = 230,966.60/648.27
  6. Step 6: Final answer
    x = 356.28

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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.