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Finding the Fourth Proportional to 279.24, 387.12 and 264.60

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Solution

The fourth proportional to 279.24, 387.12 and 264.60 is: 366.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.24 : 387.12 = 264.60 : x
  2. Step 2: Convert to fraction form
    279.24/387.12 = 264.60/x
  3. Step 3: Cross multiply
    279.24x = 387.12 × 264.60
  4. Step 4: Simplify right side
    279.24x = 102,431.95
  5. Step 5: Solve for x
    x = 102,431.95/279.24
  6. Step 6: Final answer
    x = 366.82

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.