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Finding the Fourth Proportional to 615.92, 849.71 and 367.14

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Solution

The fourth proportional to 615.92, 849.71 and 367.14 is: 506.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.92 : 849.71 = 367.14 : x
  2. Step 2: Convert to fraction form
    615.92/849.71 = 367.14/x
  3. Step 3: Cross multiply
    615.92x = 849.71 × 367.14
  4. Step 4: Simplify right side
    615.92x = 311,963.45
  5. Step 5: Solve for x
    x = 311,963.45/615.92
  6. Step 6: Final answer
    x = 506.50

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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.