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Finding the Fourth Proportional to 615.83, 849.71 and 367.23

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Solution

The fourth proportional to 615.83, 849.71 and 367.23 is: 506.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.83 : 849.71 = 367.23 : x
  2. Step 2: Convert to fraction form
    615.83/849.71 = 367.23/x
  3. Step 3: Cross multiply
    615.83x = 849.71 × 367.23
  4. Step 4: Simplify right side
    615.83x = 312,037.17
  5. Step 5: Solve for x
    x = 312,037.17/615.83
  6. Step 6: Final answer
    x = 506.69

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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.