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Finding the Fourth Proportional to 462.22, 637.72 and 338.05

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Solution

The fourth proportional to 462.22, 637.72 and 338.05 is: 466.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.22 : 637.72 = 338.05 : x
  2. Step 2: Convert to fraction form
    462.22/637.72 = 338.05/x
  3. Step 3: Cross multiply
    462.22x = 637.72 × 338.05
  4. Step 4: Simplify right side
    462.22x = 215,581.25
  5. Step 5: Solve for x
    x = 215,581.25/462.22
  6. Step 6: Final answer
    x = 466.40

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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.