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Finding the Fourth Proportional to 506.16, 698.04 and 331.56

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Solution

The fourth proportional to 506.16, 698.04 and 331.56 is: 457.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.16 : 698.04 = 331.56 : x
  2. Step 2: Convert to fraction form
    506.16/698.04 = 331.56/x
  3. Step 3: Cross multiply
    506.16x = 698.04 × 331.56
  4. Step 4: Simplify right side
    506.16x = 231,442.14
  5. Step 5: Solve for x
    x = 231,442.14/506.16
  6. Step 6: Final answer
    x = 457.25

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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.