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Finding the Fourth Proportional to 313.54, 467.66 and 269.70

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Solution

The fourth proportional to 313.54, 467.66 and 269.70 is: 402.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.54 : 467.66 = 269.70 : x
  2. Step 2: Convert to fraction form
    313.54/467.66 = 269.70/x
  3. Step 3: Cross multiply
    313.54x = 467.66 × 269.70
  4. Step 4: Simplify right side
    313.54x = 126,127.90
  5. Step 5: Solve for x
    x = 126,127.90/313.54
  6. Step 6: Final answer
    x = 402.27

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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.