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Finding the Fourth Proportional to 460.52, 690.78 and 171.98

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Solution

The fourth proportional to 460.52, 690.78 and 171.98 is: 257.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.52 : 690.78 = 171.98 : x
  2. Step 2: Convert to fraction form
    460.52/690.78 = 171.98/x
  3. Step 3: Cross multiply
    460.52x = 690.78 × 171.98
  4. Step 4: Simplify right side
    460.52x = 118,800.34
  5. Step 5: Solve for x
    x = 118,800.34/460.52
  6. Step 6: Final answer
    x = 257.97

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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.