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Finding the Fourth Proportional to 558.72, 836.28 and 412.20

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Solution

The fourth proportional to 558.72, 836.28 and 412.20 is: 616.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.72 : 836.28 = 412.20 : x
  2. Step 2: Convert to fraction form
    558.72/836.28 = 412.20/x
  3. Step 3: Cross multiply
    558.72x = 836.28 × 412.20
  4. Step 4: Simplify right side
    558.72x = 344,714.62
  5. Step 5: Solve for x
    x = 344,714.62/558.72
  6. Step 6: Final answer
    x = 616.97

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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.