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Finding the Fourth Proportional to 463.57, 695.70 and 171.34

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Solution

The fourth proportional to 463.57, 695.70 and 171.34 is: 257.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.57 : 695.70 = 171.34 : x
  2. Step 2: Convert to fraction form
    463.57/695.70 = 171.34/x
  3. Step 3: Cross multiply
    463.57x = 695.70 × 171.34
  4. Step 4: Simplify right side
    463.57x = 119,199.50
  5. Step 5: Solve for x
    x = 119,199.50/463.57
  6. Step 6: Final answer
    x = 257.14

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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.