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Finding the Fourth Proportional to 613.96, 920.95 and 341.78

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Solution

The fourth proportional to 613.96, 920.95 and 341.78 is: 512.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.96 : 920.95 = 341.78 : x
  2. Step 2: Convert to fraction form
    613.96/920.95 = 341.78/x
  3. Step 3: Cross multiply
    613.96x = 920.95 × 341.78
  4. Step 4: Simplify right side
    613.96x = 314,765.07
  5. Step 5: Solve for x
    x = 314,765.07/613.96
  6. Step 6: Final answer
    x = 512.68

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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.