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Finding the Fourth Proportional to 615.46, 849.31 and 335.69

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Solution

The fourth proportional to 615.46, 849.31 and 335.69 is: 463.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.46 : 849.31 = 335.69 : x
  2. Step 2: Convert to fraction form
    615.46/849.31 = 335.69/x
  3. Step 3: Cross multiply
    615.46x = 849.31 × 335.69
  4. Step 4: Simplify right side
    615.46x = 285,105.71
  5. Step 5: Solve for x
    x = 285,105.71/615.46
  6. Step 6: Final answer
    x = 463.24

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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.