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Finding the Fourth Proportional to 424.66, 585.56 and 331.24

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Solution

The fourth proportional to 424.66, 585.56 and 331.24 is: 456.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.66 : 585.56 = 331.24 : x
  2. Step 2: Convert to fraction form
    424.66/585.56 = 331.24/x
  3. Step 3: Cross multiply
    424.66x = 585.56 × 331.24
  4. Step 4: Simplify right side
    424.66x = 193,960.89
  5. Step 5: Solve for x
    x = 193,960.89/424.66
  6. Step 6: Final answer
    x = 456.74

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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.