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Finding the Fourth Proportional to 488.97, 673.11 and 433.62

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Solution

The fourth proportional to 488.97, 673.11 and 433.62 is: 596.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.97 : 673.11 = 433.62 : x
  2. Step 2: Convert to fraction form
    488.97/673.11 = 433.62/x
  3. Step 3: Cross multiply
    488.97x = 673.11 × 433.62
  4. Step 4: Simplify right side
    488.97x = 291,873.96
  5. Step 5: Solve for x
    x = 291,873.96/488.97
  6. Step 6: Final answer
    x = 596.92

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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.