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Finding the Fourth Proportional to 460.41, 690.63 and 171.78

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Solution

The fourth proportional to 460.41, 690.63 and 171.78 is: 257.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.41 : 690.63 = 171.78 : x
  2. Step 2: Convert to fraction form
    460.41/690.63 = 171.78/x
  3. Step 3: Cross multiply
    460.41x = 690.63 × 171.78
  4. Step 4: Simplify right side
    460.41x = 118,636.42
  5. Step 5: Solve for x
    x = 118,636.42/460.41
  6. Step 6: Final answer
    x = 257.68

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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.