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Finding the Fourth Proportional to 459.92, 634.68 and 282.82

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Solution

The fourth proportional to 459.92, 634.68 and 282.82 is: 390.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.92 : 634.68 = 282.82 : x
  2. Step 2: Convert to fraction form
    459.92/634.68 = 282.82/x
  3. Step 3: Cross multiply
    459.92x = 634.68 × 282.82
  4. Step 4: Simplify right side
    459.92x = 179,500.20
  5. Step 5: Solve for x
    x = 179,500.20/459.92
  6. Step 6: Final answer
    x = 390.29

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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.