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Finding the Fourth Proportional to 424.72, 586.20 and 331.28

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Solution

The fourth proportional to 424.72, 586.20 and 331.28 is: 457.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.72 : 586.20 = 331.28 : x
  2. Step 2: Convert to fraction form
    424.72/586.20 = 331.28/x
  3. Step 3: Cross multiply
    424.72x = 586.20 × 331.28
  4. Step 4: Simplify right side
    424.72x = 194,196.34
  5. Step 5: Solve for x
    x = 194,196.34/424.72
  6. Step 6: Final answer
    x = 457.23

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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.