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Finding the Fourth Proportional to 558.58, 838.38 and 402.56

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Solution

The fourth proportional to 558.58, 838.38 and 402.56 is: 604.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.58 : 838.38 = 402.56 : x
  2. Step 2: Convert to fraction form
    558.58/838.38 = 402.56/x
  3. Step 3: Cross multiply
    558.58x = 838.38 × 402.56
  4. Step 4: Simplify right side
    558.58x = 337,498.25
  5. Step 5: Solve for x
    x = 337,498.25/558.58
  6. Step 6: Final answer
    x = 604.21

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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.