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Finding the Fourth Proportional to 279.76, 417.64 and 259.76

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Solution

The fourth proportional to 279.76, 417.64 and 259.76 is: 387.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.76 : 417.64 = 259.76 : x
  2. Step 2: Convert to fraction form
    279.76/417.64 = 259.76/x
  3. Step 3: Cross multiply
    279.76x = 417.64 × 259.76
  4. Step 4: Simplify right side
    279.76x = 108,486.17
  5. Step 5: Solve for x
    x = 108,486.17/279.76
  6. Step 6: Final answer
    x = 387.78

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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.