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Finding the Fourth Proportional to 279.28, 416.88 and 259.24

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Solution

The fourth proportional to 279.28, 416.88 and 259.24 is: 386.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.28 : 416.88 = 259.24 : x
  2. Step 2: Convert to fraction form
    279.28/416.88 = 259.24/x
  3. Step 3: Cross multiply
    279.28x = 416.88 × 259.24
  4. Step 4: Simplify right side
    279.28x = 108,071.97
  5. Step 5: Solve for x
    x = 108,071.97/279.28
  6. Step 6: Final answer
    x = 386.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.