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Finding the Fourth Proportional to 459.46, 689.10 and 170.92

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Solution

The fourth proportional to 459.46, 689.10 and 170.92 is: 256.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.46 : 689.10 = 170.92 : x
  2. Step 2: Convert to fraction form
    459.46/689.10 = 170.92/x
  3. Step 3: Cross multiply
    459.46x = 689.10 × 170.92
  4. Step 4: Simplify right side
    459.46x = 117,780.97
  5. Step 5: Solve for x
    x = 117,780.97/459.46
  6. Step 6: Final answer
    x = 256.35

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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.