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Finding the Fourth Proportional to 460, 689.84 and 171.28

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Solution

The fourth proportional to 460, 689.84 and 171.28 is: 256.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    460 : 689.84 = 171.28 : x
  2. Step 2: Convert to fraction form
    460/689.84 = 171.28/x
  3. Step 3: Cross multiply
    460x = 689.84 × 171.28
  4. Step 4: Simplify right side
    460x = 118,155.80
  5. Step 5: Solve for x
    x = 118,155.80/460
  6. Step 6: Final answer
    x = 256.86

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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.