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Finding the Fourth Proportional to 311.67, 465.24 and 277.35

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Solution

The fourth proportional to 311.67, 465.24 and 277.35 is: 414.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.67 : 465.24 = 277.35 : x
  2. Step 2: Convert to fraction form
    311.67/465.24 = 277.35/x
  3. Step 3: Cross multiply
    311.67x = 465.24 × 277.35
  4. Step 4: Simplify right side
    311.67x = 129,034.31
  5. Step 5: Solve for x
    x = 129,034.31/311.67
  6. Step 6: Final answer
    x = 414.01

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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.