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Finding the Fourth Proportional to 459.81, 634.54 and 252.81

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Solution

The fourth proportional to 459.81, 634.54 and 252.81 is: 348.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.81 : 634.54 = 252.81 : x
  2. Step 2: Convert to fraction form
    459.81/634.54 = 252.81/x
  3. Step 3: Cross multiply
    459.81x = 634.54 × 252.81
  4. Step 4: Simplify right side
    459.81x = 160,420.28
  5. Step 5: Solve for x
    x = 160,420.28/459.81
  6. Step 6: Final answer
    x = 348.88

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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.