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Finding the Fourth Proportional to 615.78, 849.41 and 366.70

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Solution

The fourth proportional to 615.78, 849.41 and 366.70 is: 505.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.78 : 849.41 = 366.70 : x
  2. Step 2: Convert to fraction form
    615.78/849.41 = 366.70/x
  3. Step 3: Cross multiply
    615.78x = 849.41 × 366.70
  4. Step 4: Simplify right side
    615.78x = 311,478.65
  5. Step 5: Solve for x
    x = 311,478.65/615.78
  6. Step 6: Final answer
    x = 505.83

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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.