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Finding the Fourth Proportional to 276.91, 416.52 and 230.77

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Solution

The fourth proportional to 276.91, 416.52 and 230.77 is: 347.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.91 : 416.52 = 230.77 : x
  2. Step 2: Convert to fraction form
    276.91/416.52 = 230.77/x
  3. Step 3: Cross multiply
    276.91x = 416.52 × 230.77
  4. Step 4: Simplify right side
    276.91x = 96,121.36
  5. Step 5: Solve for x
    x = 96,121.36/276.91
  6. Step 6: Final answer
    x = 347.13

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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.