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Finding the Fourth Proportional to 615.47, 849.49 and 353.63

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Solution

The fourth proportional to 615.47, 849.49 and 353.63 is: 488.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.47 : 849.49 = 353.63 : x
  2. Step 2: Convert to fraction form
    615.47/849.49 = 353.63/x
  3. Step 3: Cross multiply
    615.47x = 849.49 × 353.63
  4. Step 4: Simplify right side
    615.47x = 300,406.39
  5. Step 5: Solve for x
    x = 300,406.39/615.47
  6. Step 6: Final answer
    x = 488.10

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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.