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Finding the Fourth Proportional to 488.38, 673.89 and 322.66

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Solution

The fourth proportional to 488.38, 673.89 and 322.66 is: 445.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.38 : 673.89 = 322.66 : x
  2. Step 2: Convert to fraction form
    488.38/673.89 = 322.66/x
  3. Step 3: Cross multiply
    488.38x = 673.89 × 322.66
  4. Step 4: Simplify right side
    488.38x = 217,437.35
  5. Step 5: Solve for x
    x = 217,437.35/488.38
  6. Step 6: Final answer
    x = 445.22

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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.