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Finding the Fourth Proportional to 617.78, 925.76 and 343.50

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Solution

The fourth proportional to 617.78, 925.76 and 343.50 is: 514.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.78 : 925.76 = 343.50 : x
  2. Step 2: Convert to fraction form
    617.78/925.76 = 343.50/x
  3. Step 3: Cross multiply
    617.78x = 925.76 × 343.50
  4. Step 4: Simplify right side
    617.78x = 317,993.93
  5. Step 5: Solve for x
    x = 317,993.93/617.78
  6. Step 6: Final answer
    x = 514.74

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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.