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Finding the Fourth Proportional to 459.41, 689.13 and 170.78

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Solution

The fourth proportional to 459.41, 689.13 and 170.78 is: 256.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.41 : 689.13 = 170.78 : x
  2. Step 2: Convert to fraction form
    459.41/689.13 = 170.78/x
  3. Step 3: Cross multiply
    459.41x = 689.13 × 170.78
  4. Step 4: Simplify right side
    459.41x = 117,686.18
  5. Step 5: Solve for x
    x = 117,686.18/459.41
  6. Step 6: Final answer
    x = 256.17

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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.