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Finding the Fourth Proportional to 615.78, 849.72 and 353.76

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Solution

The fourth proportional to 615.78, 849.72 and 353.76 is: 488.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.78 : 849.72 = 353.76 : x
  2. Step 2: Convert to fraction form
    615.78/849.72 = 353.76/x
  3. Step 3: Cross multiply
    615.78x = 849.72 × 353.76
  4. Step 4: Simplify right side
    615.78x = 300,596.95
  5. Step 5: Solve for x
    x = 300,596.95/615.78
  6. Step 6: Final answer
    x = 488.16

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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.