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Finding the Fourth Proportional to 462.20, 637.04 and 418.20

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Solution

The fourth proportional to 462.20, 637.04 and 418.20 is: 576.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.20 : 637.04 = 418.20 : x
  2. Step 2: Convert to fraction form
    462.20/637.04 = 418.20/x
  3. Step 3: Cross multiply
    462.20x = 637.04 × 418.20
  4. Step 4: Simplify right side
    462.20x = 266,410.13
  5. Step 5: Solve for x
    x = 266,410.13/462.20
  6. Step 6: Final answer
    x = 576.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.