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Finding the Fourth Proportional to 648.14, 972.35 and 237.28

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Solution

The fourth proportional to 648.14, 972.35 and 237.28 is: 355.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.14 : 972.35 = 237.28 : x
  2. Step 2: Convert to fraction form
    648.14/972.35 = 237.28/x
  3. Step 3: Cross multiply
    648.14x = 972.35 × 237.28
  4. Step 4: Simplify right side
    648.14x = 230,719.21
  5. Step 5: Solve for x
    x = 230,719.21/648.14
  6. Step 6: Final answer
    x = 355.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.