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Finding the Fourth Proportional to 460.46, 690.80 and 171.89

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Solution

The fourth proportional to 460.46, 690.80 and 171.89 is: 257.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.46 : 690.80 = 171.89 : x
  2. Step 2: Convert to fraction form
    460.46/690.80 = 171.89/x
  3. Step 3: Cross multiply
    460.46x = 690.80 × 171.89
  4. Step 4: Simplify right side
    460.46x = 118,740.75
  5. Step 5: Solve for x
    x = 118,740.75/460.46
  6. Step 6: Final answer
    x = 257.87

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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.