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Finding the Fourth Proportional to 463.43, 695.27 and 298.97

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Solution

The fourth proportional to 463.43, 695.27 and 298.97 is: 448.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.43 : 695.27 = 298.97 : x
  2. Step 2: Convert to fraction form
    463.43/695.27 = 298.97/x
  3. Step 3: Cross multiply
    463.43x = 695.27 × 298.97
  4. Step 4: Simplify right side
    463.43x = 207,859.90
  5. Step 5: Solve for x
    x = 207,859.90/463.43
  6. Step 6: Final answer
    x = 448.53

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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.