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Finding the Fourth Proportional to 411.94, 616.56 and 296.02

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Solution

The fourth proportional to 411.94, 616.56 and 296.02 is: 443.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.94 : 616.56 = 296.02 : x
  2. Step 2: Convert to fraction form
    411.94/616.56 = 296.02/x
  3. Step 3: Cross multiply
    411.94x = 616.56 × 296.02
  4. Step 4: Simplify right side
    411.94x = 182,514.09
  5. Step 5: Solve for x
    x = 182,514.09/411.94
  6. Step 6: Final answer
    x = 443.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.