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Finding the Fourth Proportional to 412.52, 618.82 and 311.08

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Solution

The fourth proportional to 412.52, 618.82 and 311.08 is: 466.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.52 : 618.82 = 311.08 : x
  2. Step 2: Convert to fraction form
    412.52/618.82 = 311.08/x
  3. Step 3: Cross multiply
    412.52x = 618.82 × 311.08
  4. Step 4: Simplify right side
    412.52x = 192,502.53
  5. Step 5: Solve for x
    x = 192,502.53/412.52
  6. Step 6: Final answer
    x = 466.65

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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.