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Finding the Fourth Proportional to 462.96, 637.02 and 452.02

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Solution

The fourth proportional to 462.96, 637.02 and 452.02 is: 621.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.96 : 637.02 = 452.02 : x
  2. Step 2: Convert to fraction form
    462.96/637.02 = 452.02/x
  3. Step 3: Cross multiply
    462.96x = 637.02 × 452.02
  4. Step 4: Simplify right side
    462.96x = 287,945.78
  5. Step 5: Solve for x
    x = 287,945.78/462.96
  6. Step 6: Final answer
    x = 621.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.