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Finding the Fourth Proportional to 615.74, 849.41 and 405.69

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Solution

The fourth proportional to 615.74, 849.41 and 405.69 is: 559.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.74 : 849.41 = 405.69 : x
  2. Step 2: Convert to fraction form
    615.74/849.41 = 405.69/x
  3. Step 3: Cross multiply
    615.74x = 849.41 × 405.69
  4. Step 4: Simplify right side
    615.74x = 344,595.11
  5. Step 5: Solve for x
    x = 344,595.11/615.74
  6. Step 6: Final answer
    x = 559.65

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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.