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Finding the Fourth Proportional to 459.70, 689.14 and 170.94

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Solution

The fourth proportional to 459.70, 689.14 and 170.94 is: 256.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.70 : 689.14 = 170.94 : x
  2. Step 2: Convert to fraction form
    459.70/689.14 = 170.94/x
  3. Step 3: Cross multiply
    459.70x = 689.14 × 170.94
  4. Step 4: Simplify right side
    459.70x = 117,801.59
  5. Step 5: Solve for x
    x = 117,801.59/459.70
  6. Step 6: Final answer
    x = 256.26

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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.