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Finding the Fourth Proportional to 506.68, 699.24 and 332.20

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Solution

The fourth proportional to 506.68, 699.24 and 332.20 is: 458.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.68 : 699.24 = 332.20 : x
  2. Step 2: Convert to fraction form
    506.68/699.24 = 332.20/x
  3. Step 3: Cross multiply
    506.68x = 699.24 × 332.20
  4. Step 4: Simplify right side
    506.68x = 232,287.53
  5. Step 5: Solve for x
    x = 232,287.53/506.68
  6. Step 6: Final answer
    x = 458.45

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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.