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Finding the Fourth Proportional to 412.30, 616.10 and 296.20

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Solution

The fourth proportional to 412.30, 616.10 and 296.20 is: 442.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.30 : 616.10 = 296.20 : x
  2. Step 2: Convert to fraction form
    412.30/616.10 = 296.20/x
  3. Step 3: Cross multiply
    412.30x = 616.10 × 296.20
  4. Step 4: Simplify right side
    412.30x = 182,488.82
  5. Step 5: Solve for x
    x = 182,488.82/412.30
  6. Step 6: Final answer
    x = 442.61

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Why These Related Problems?

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