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Finding the Fourth Proportional to 459.20, 633.24 and 406.76

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Solution

The fourth proportional to 459.20, 633.24 and 406.76 is: 560.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.20 : 633.24 = 406.76 : x
  2. Step 2: Convert to fraction form
    459.20/633.24 = 406.76/x
  3. Step 3: Cross multiply
    459.20x = 633.24 × 406.76
  4. Step 4: Simplify right side
    459.20x = 257,576.70
  5. Step 5: Solve for x
    x = 257,576.70/459.20
  6. Step 6: Final answer
    x = 560.92

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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.