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Finding the Fourth Proportional to 318.01, 477.70 and 269.36

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Solution

The fourth proportional to 318.01, 477.70 and 269.36 is: 404.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.01 : 477.70 = 269.36 : x
  2. Step 2: Convert to fraction form
    318.01/477.70 = 269.36/x
  3. Step 3: Cross multiply
    318.01x = 477.70 × 269.36
  4. Step 4: Simplify right side
    318.01x = 128,669.54
  5. Step 5: Solve for x
    x = 128,669.54/318.01
  6. Step 6: Final answer
    x = 404.61

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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.