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Finding the Fourth Proportional to 463.14, 695.06 and 279.97

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Solution

The fourth proportional to 463.14, 695.06 and 279.97 is: 420.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.14 : 695.06 = 279.97 : x
  2. Step 2: Convert to fraction form
    463.14/695.06 = 279.97/x
  3. Step 3: Cross multiply
    463.14x = 695.06 × 279.97
  4. Step 4: Simplify right side
    463.14x = 194,595.95
  5. Step 5: Solve for x
    x = 194,595.95/463.14
  6. Step 6: Final answer
    x = 420.17

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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.