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Finding the Fourth Proportional to 486.61, 727.31 and 398.98

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Solution

The fourth proportional to 486.61, 727.31 and 398.98 is: 596.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.61 : 727.31 = 398.98 : x
  2. Step 2: Convert to fraction form
    486.61/727.31 = 398.98/x
  3. Step 3: Cross multiply
    486.61x = 727.31 × 398.98
  4. Step 4: Simplify right side
    486.61x = 290,182.14
  5. Step 5: Solve for x
    x = 290,182.14/486.61
  6. Step 6: Final answer
    x = 596.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.