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Finding the Fourth Proportional to 558.20, 770 and 337.04

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Solution

The fourth proportional to 558.20, 770 and 337.04 is: 464.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.20 : 770 = 337.04 : x
  2. Step 2: Convert to fraction form
    558.20/770 = 337.04/x
  3. Step 3: Cross multiply
    558.20x = 770 × 337.04
  4. Step 4: Simplify right side
    558.20x = 259,520.80
  5. Step 5: Solve for x
    x = 259,520.80/558.20
  6. Step 6: Final answer
    x = 464.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.