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Finding the Fourth Proportional to 318.70, 477.52 and 306.70

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Solution

The fourth proportional to 318.70, 477.52 and 306.70 is: 459.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.70 : 477.52 = 306.70 : x
  2. Step 2: Convert to fraction form
    318.70/477.52 = 306.70/x
  3. Step 3: Cross multiply
    318.70x = 477.52 × 306.70
  4. Step 4: Simplify right side
    318.70x = 146,456.11
  5. Step 5: Solve for x
    x = 146,456.11/318.70
  6. Step 6: Final answer
    x = 459.54

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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.