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Finding the Fourth Proportional to 558.80, 838.91 and 354.23

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Solution

The fourth proportional to 558.80, 838.91 and 354.23 is: 531.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.80 : 838.91 = 354.23 : x
  2. Step 2: Convert to fraction form
    558.80/838.91 = 354.23/x
  3. Step 3: Cross multiply
    558.80x = 838.91 × 354.23
  4. Step 4: Simplify right side
    558.80x = 297,167.09
  5. Step 5: Solve for x
    x = 297,167.09/558.80
  6. Step 6: Final answer
    x = 531.80

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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.