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Finding the Fourth Proportional to 412.80, 616.85 and 296.70

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Solution

The fourth proportional to 412.80, 616.85 and 296.70 is: 443.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.80 : 616.85 = 296.70 : x
  2. Step 2: Convert to fraction form
    412.80/616.85 = 296.70/x
  3. Step 3: Cross multiply
    412.80x = 616.85 × 296.70
  4. Step 4: Simplify right side
    412.80x = 183,017.91
  5. Step 5: Solve for x
    x = 183,017.91/412.80
  6. Step 6: Final answer
    x = 443.36

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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.