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Finding the Fourth Proportional to 648.42, 972.04 and 237.26

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Solution

The fourth proportional to 648.42, 972.04 and 237.26 is: 355.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.42 : 972.04 = 237.26 : x
  2. Step 2: Convert to fraction form
    648.42/972.04 = 237.26/x
  3. Step 3: Cross multiply
    648.42x = 972.04 × 237.26
  4. Step 4: Simplify right side
    648.42x = 230,625.02
  5. Step 5: Solve for x
    x = 230,625.02/648.42
  6. Step 6: Final answer
    x = 355.68

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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.