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Finding the Fourth Proportional to 463.86, 695.97 and 268.83

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Solution

The fourth proportional to 463.86, 695.97 and 268.83 is: 403.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.86 : 695.97 = 268.83 : x
  2. Step 2: Convert to fraction form
    463.86/695.97 = 268.83/x
  3. Step 3: Cross multiply
    463.86x = 695.97 × 268.83
  4. Step 4: Simplify right side
    463.86x = 187,097.62
  5. Step 5: Solve for x
    x = 187,097.62/463.86
  6. Step 6: Final answer
    x = 403.35

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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.