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Finding the Fourth Proportional to 412.15, 616.66 and 296.86

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Solution

The fourth proportional to 412.15, 616.66 and 296.86 is: 444.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.15 : 616.66 = 296.86 : x
  2. Step 2: Convert to fraction form
    412.15/616.66 = 296.86/x
  3. Step 3: Cross multiply
    412.15x = 616.66 × 296.86
  4. Step 4: Simplify right side
    412.15x = 183,061.69
  5. Step 5: Solve for x
    x = 183,061.69/412.15
  6. Step 6: Final answer
    x = 444.16

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Why These Related Problems?

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