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Finding the Fourth Proportional to 311.76, 464.52 and 277.68

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Solution

The fourth proportional to 311.76, 464.52 and 277.68 is: 413.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.76 : 464.52 = 277.68 : x
  2. Step 2: Convert to fraction form
    311.76/464.52 = 277.68/x
  3. Step 3: Cross multiply
    311.76x = 464.52 × 277.68
  4. Step 4: Simplify right side
    311.76x = 128,987.91
  5. Step 5: Solve for x
    x = 128,987.91/311.76
  6. Step 6: Final answer
    x = 413.74

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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.