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Finding the Fourth Proportional to 615.42, 849.66 and 405.96

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Solution

The fourth proportional to 615.42, 849.66 and 405.96 is: 560.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.42 : 849.66 = 405.96 : x
  2. Step 2: Convert to fraction form
    615.42/849.66 = 405.96/x
  3. Step 3: Cross multiply
    615.42x = 849.66 × 405.96
  4. Step 4: Simplify right side
    615.42x = 344,927.97
  5. Step 5: Solve for x
    x = 344,927.97/615.42
  6. Step 6: Final answer
    x = 560.48

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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.