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Finding the Fourth Proportional to 558.14, 770.18 and 337.20

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Solution

The fourth proportional to 558.14, 770.18 and 337.20 is: 465.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.14 : 770.18 = 337.20 : x
  2. Step 2: Convert to fraction form
    558.14/770.18 = 337.20/x
  3. Step 3: Cross multiply
    558.14x = 770.18 × 337.20
  4. Step 4: Simplify right side
    558.14x = 259,704.70
  5. Step 5: Solve for x
    x = 259,704.70/558.14
  6. Step 6: Final answer
    x = 465.30

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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.