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Finding the Fourth Proportional to 276.55, 414.05 and 258.77

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Solution

The fourth proportional to 276.55, 414.05 and 258.77 is: 387.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.55 : 414.05 = 258.77 : x
  2. Step 2: Convert to fraction form
    276.55/414.05 = 258.77/x
  3. Step 3: Cross multiply
    276.55x = 414.05 × 258.77
  4. Step 4: Simplify right side
    276.55x = 107,143.46
  5. Step 5: Solve for x
    x = 107,143.46/276.55
  6. Step 6: Final answer
    x = 387.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.