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Finding the Fourth Proportional to 311.72, 465.49 and 295.93

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Solution

The fourth proportional to 311.72, 465.49 and 295.93 is: 441.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.72 : 465.49 = 295.93 : x
  2. Step 2: Convert to fraction form
    311.72/465.49 = 295.93/x
  3. Step 3: Cross multiply
    311.72x = 465.49 × 295.93
  4. Step 4: Simplify right side
    311.72x = 137,750.13
  5. Step 5: Solve for x
    x = 137,750.13/311.72
  6. Step 6: Final answer
    x = 441.90

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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.