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Finding the Fourth Proportional to 463.19, 695.11 and 257.92

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Solution

The fourth proportional to 463.19, 695.11 and 257.92 is: 387.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.19 : 695.11 = 257.92 : x
  2. Step 2: Convert to fraction form
    463.19/695.11 = 257.92/x
  3. Step 3: Cross multiply
    463.19x = 695.11 × 257.92
  4. Step 4: Simplify right side
    463.19x = 179,282.77
  5. Step 5: Solve for x
    x = 179,282.77/463.19
  6. Step 6: Final answer
    x = 387.06

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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.