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Finding the Fourth Proportional to 412.46, 618.15 and 315.80

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Solution

The fourth proportional to 412.46, 618.15 and 315.80 is: 473.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.46 : 618.15 = 315.80 : x
  2. Step 2: Convert to fraction form
    412.46/618.15 = 315.80/x
  3. Step 3: Cross multiply
    412.46x = 618.15 × 315.80
  4. Step 4: Simplify right side
    412.46x = 195,213.32
  5. Step 5: Solve for x
    x = 195,213.32/412.46
  6. Step 6: Final answer
    x = 473.29

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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.