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Finding the Fourth Proportional to 279.24, 384.66 and 232.56

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Solution

The fourth proportional to 279.24, 384.66 and 232.56 is: 320.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.24 : 384.66 = 232.56 : x
  2. Step 2: Convert to fraction form
    279.24/384.66 = 232.56/x
  3. Step 3: Cross multiply
    279.24x = 384.66 × 232.56
  4. Step 4: Simplify right side
    279.24x = 89,456.53
  5. Step 5: Solve for x
    x = 89,456.53/279.24
  6. Step 6: Final answer
    x = 320.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.