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Finding the Fourth Proportional to 459, 688.41 and 129.93

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Solution

The fourth proportional to 459, 688.41 and 129.93 is: 194.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    459 : 688.41 = 129.93 : x
  2. Step 2: Convert to fraction form
    459/688.41 = 129.93/x
  3. Step 3: Cross multiply
    459x = 688.41 × 129.93
  4. Step 4: Simplify right side
    459x = 89,445.11
  5. Step 5: Solve for x
    x = 89,445.11/459
  6. Step 6: Final answer
    x = 194.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.