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Finding the Fourth Proportional to 460.26, 690.39 and 171.70

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Solution

The fourth proportional to 460.26, 690.39 and 171.70 is: 257.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.26 : 690.39 = 171.70 : x
  2. Step 2: Convert to fraction form
    460.26/690.39 = 171.70/x
  3. Step 3: Cross multiply
    460.26x = 690.39 × 171.70
  4. Step 4: Simplify right side
    460.26x = 118,539.96
  5. Step 5: Solve for x
    x = 118,539.96/460.26
  6. Step 6: Final answer
    x = 257.55

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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.