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Finding the Fourth Proportional to 615.24, 849.51 and 379.31

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Solution

The fourth proportional to 615.24, 849.51 and 379.31 is: 523.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.24 : 849.51 = 379.31 : x
  2. Step 2: Convert to fraction form
    615.24/849.51 = 379.31/x
  3. Step 3: Cross multiply
    615.24x = 849.51 × 379.31
  4. Step 4: Simplify right side
    615.24x = 322,223.39
  5. Step 5: Solve for x
    x = 322,223.39/615.24
  6. Step 6: Final answer
    x = 523.74

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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.