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Finding the Fourth Proportional to 412.08, 616.86 and 353.76

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Solution

The fourth proportional to 412.08, 616.86 and 353.76 is: 529.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.08 : 616.86 = 353.76 : x
  2. Step 2: Convert to fraction form
    412.08/616.86 = 353.76/x
  3. Step 3: Cross multiply
    412.08x = 616.86 × 353.76
  4. Step 4: Simplify right side
    412.08x = 218,220.39
  5. Step 5: Solve for x
    x = 218,220.39/412.08
  6. Step 6: Final answer
    x = 529.56

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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.