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Finding the Fourth Proportional to 615.29, 849.03 and 349.76

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Solution

The fourth proportional to 615.29, 849.03 and 349.76 is: 482.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.29 : 849.03 = 349.76 : x
  2. Step 2: Convert to fraction form
    615.29/849.03 = 349.76/x
  3. Step 3: Cross multiply
    615.29x = 849.03 × 349.76
  4. Step 4: Simplify right side
    615.29x = 296,955.65
  5. Step 5: Solve for x
    x = 296,955.65/615.29
  6. Step 6: Final answer
    x = 482.63

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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.