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Finding the Fourth Proportional to 412.43, 618.01 and 373.73

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Solution

The fourth proportional to 412.43, 618.01 and 373.73 is: 560.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.43 : 618.01 = 373.73 : x
  2. Step 2: Convert to fraction form
    412.43/618.01 = 373.73/x
  3. Step 3: Cross multiply
    412.43x = 618.01 × 373.73
  4. Step 4: Simplify right side
    412.43x = 230,964.85
  5. Step 5: Solve for x
    x = 230,964.85/412.43
  6. Step 6: Final answer
    x = 560.02

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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.