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Finding the Fourth Proportional to 279.87, 417.34 and 260.39

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Solution

The fourth proportional to 279.87, 417.34 and 260.39 is: 388.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.87 : 417.34 = 260.39 : x
  2. Step 2: Convert to fraction form
    279.87/417.34 = 260.39/x
  3. Step 3: Cross multiply
    279.87x = 417.34 × 260.39
  4. Step 4: Simplify right side
    279.87x = 108,671.55
  5. Step 5: Solve for x
    x = 108,671.55/279.87
  6. Step 6: Final answer
    x = 388.29

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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.