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Finding the Fourth Proportional to 459.92, 634.29 and 365.96

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Solution

The fourth proportional to 459.92, 634.29 and 365.96 is: 504.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.92 : 634.29 = 365.96 : x
  2. Step 2: Convert to fraction form
    459.92/634.29 = 365.96/x
  3. Step 3: Cross multiply
    459.92x = 634.29 × 365.96
  4. Step 4: Simplify right side
    459.92x = 232,124.77
  5. Step 5: Solve for x
    x = 232,124.77/459.92
  6. Step 6: Final answer
    x = 504.71

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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.