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Finding the Fourth Proportional to 279.28, 384.84 and 259.82

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Solution

The fourth proportional to 279.28, 384.84 and 259.82 is: 358.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.28 : 384.84 = 259.82 : x
  2. Step 2: Convert to fraction form
    279.28/384.84 = 259.82/x
  3. Step 3: Cross multiply
    279.28x = 384.84 × 259.82
  4. Step 4: Simplify right side
    279.28x = 99,987.20
  5. Step 5: Solve for x
    x = 99,987.20/279.28
  6. Step 6: Final answer
    x = 358.02

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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.