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Finding the Fourth Proportional to 506.02, 698.12 and 331.46

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Solution

The fourth proportional to 506.02, 698.12 and 331.46 is: 457.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.02 : 698.12 = 331.46 : x
  2. Step 2: Convert to fraction form
    506.02/698.12 = 331.46/x
  3. Step 3: Cross multiply
    506.02x = 698.12 × 331.46
  4. Step 4: Simplify right side
    506.02x = 231,398.86
  5. Step 5: Solve for x
    x = 231,398.86/506.02
  6. Step 6: Final answer
    x = 457.29

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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.