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Finding the Fourth Proportional to 615.53, 849.24 and 366.89

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Solution

The fourth proportional to 615.53, 849.24 and 366.89 is: 506.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.53 : 849.24 = 366.89 : x
  2. Step 2: Convert to fraction form
    615.53/849.24 = 366.89/x
  3. Step 3: Cross multiply
    615.53x = 849.24 × 366.89
  4. Step 4: Simplify right side
    615.53x = 311,577.66
  5. Step 5: Solve for x
    x = 311,577.66/615.53
  6. Step 6: Final answer
    x = 506.19

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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.