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Finding the Fourth Proportional to 489.73, 672.23 and 433.24

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Solution

The fourth proportional to 489.73, 672.23 and 433.24 is: 594.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.73 : 672.23 = 433.24 : x
  2. Step 2: Convert to fraction form
    489.73/672.23 = 433.24/x
  3. Step 3: Cross multiply
    489.73x = 672.23 × 433.24
  4. Step 4: Simplify right side
    489.73x = 291,236.93
  5. Step 5: Solve for x
    x = 291,236.93/489.73
  6. Step 6: Final answer
    x = 594.69

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.