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Finding the Fourth Proportional to 276.47, 414.72 and 71.05

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Solution

The fourth proportional to 276.47, 414.72 and 71.05 is: 106.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.47 : 414.72 = 71.05 : x
  2. Step 2: Convert to fraction form
    276.47/414.72 = 71.05/x
  3. Step 3: Cross multiply
    276.47x = 414.72 × 71.05
  4. Step 4: Simplify right side
    276.47x = 29,465.86
  5. Step 5: Solve for x
    x = 29,465.86/276.47
  6. Step 6: Final answer
    x = 106.58

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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.