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Finding the Fourth Proportional to 459.76, 634.49 and 282.69

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Solution

The fourth proportional to 459.76, 634.49 and 282.69 is: 390.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.76 : 634.49 = 282.69 : x
  2. Step 2: Convert to fraction form
    459.76/634.49 = 282.69/x
  3. Step 3: Cross multiply
    459.76x = 634.49 × 282.69
  4. Step 4: Simplify right side
    459.76x = 179,363.98
  5. Step 5: Solve for x
    x = 179,363.98/459.76
  6. Step 6: Final answer
    x = 390.13

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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.