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Finding the Fourth Proportional to 412.98, 618.30 and 315.87

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Solution

The fourth proportional to 412.98, 618.30 and 315.87 is: 472.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.98 : 618.30 = 315.87 : x
  2. Step 2: Convert to fraction form
    412.98/618.30 = 315.87/x
  3. Step 3: Cross multiply
    412.98x = 618.30 × 315.87
  4. Step 4: Simplify right side
    412.98x = 195,302.42
  5. Step 5: Solve for x
    x = 195,302.42/412.98
  6. Step 6: Final answer
    x = 472.91

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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.