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Finding the Fourth Proportional to 497.67, 746.33 and 237.52

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Solution

The fourth proportional to 497.67, 746.33 and 237.52 is: 356.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.67 : 746.33 = 237.52 : x
  2. Step 2: Convert to fraction form
    497.67/746.33 = 237.52/x
  3. Step 3: Cross multiply
    497.67x = 746.33 × 237.52
  4. Step 4: Simplify right side
    497.67x = 177,268.30
  5. Step 5: Solve for x
    x = 177,268.30/497.67
  6. Step 6: Final answer
    x = 356.20

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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.