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Finding the Fourth Proportional to 506.48, 698.64 and 331.52

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Solution

The fourth proportional to 506.48, 698.64 and 331.52 is: 457.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.48 : 698.64 = 331.52 : x
  2. Step 2: Convert to fraction form
    506.48/698.64 = 331.52/x
  3. Step 3: Cross multiply
    506.48x = 698.64 × 331.52
  4. Step 4: Simplify right side
    506.48x = 231,613.13
  5. Step 5: Solve for x
    x = 231,613.13/506.48
  6. Step 6: Final answer
    x = 457.30

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Why These Related Problems?

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