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Finding the Fourth Proportional to 558.22, 837.65 and 229.10

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Solution

The fourth proportional to 558.22, 837.65 and 229.10 is: 343.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.22 : 837.65 = 229.10 : x
  2. Step 2: Convert to fraction form
    558.22/837.65 = 229.10/x
  3. Step 3: Cross multiply
    558.22x = 837.65 × 229.10
  4. Step 4: Simplify right side
    558.22x = 191,904.47
  5. Step 5: Solve for x
    x = 191,904.47/558.22
  6. Step 6: Final answer
    x = 343.78

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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.