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Finding the Fourth Proportional to 615.60, 849.62 and 406.38

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Solution

The fourth proportional to 615.60, 849.62 and 406.38 is: 560.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.60 : 849.62 = 406.38 : x
  2. Step 2: Convert to fraction form
    615.60/849.62 = 406.38/x
  3. Step 3: Cross multiply
    615.60x = 849.62 × 406.38
  4. Step 4: Simplify right side
    615.60x = 345,268.58
  5. Step 5: Solve for x
    x = 345,268.58/615.60
  6. Step 6: Final answer
    x = 560.87

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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.