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Finding the Fourth Proportional to 770.38, 1,155.57 and 222.55

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Solution

The fourth proportional to 770.38, 1,155.57 and 222.55 is: 333.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.38 : 1,155.57 = 222.55 : x
  2. Step 2: Convert to fraction form
    770.38/1,155.57 = 222.55/x
  3. Step 3: Cross multiply
    770.38x = 1,155.57 × 222.55
  4. Step 4: Simplify right side
    770.38x = 257,172.10
  5. Step 5: Solve for x
    x = 257,172.10/770.38
  6. Step 6: Final answer
    x = 333.83

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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.