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Finding the Fourth Proportional to 446.59, 616.31 and 291.25

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Solution

The fourth proportional to 446.59, 616.31 and 291.25 is: 401.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.59 : 616.31 = 291.25 : x
  2. Step 2: Convert to fraction form
    446.59/616.31 = 291.25/x
  3. Step 3: Cross multiply
    446.59x = 616.31 × 291.25
  4. Step 4: Simplify right side
    446.59x = 179,500.29
  5. Step 5: Solve for x
    x = 179,500.29/446.59
  6. Step 6: Final answer
    x = 401.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.