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Finding the Fourth Proportional to 615.39, 849.33 and 418.83

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Solution

The fourth proportional to 615.39, 849.33 and 418.83 is: 578.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.39 : 849.33 = 418.83 : x
  2. Step 2: Convert to fraction form
    615.39/849.33 = 418.83/x
  3. Step 3: Cross multiply
    615.39x = 849.33 × 418.83
  4. Step 4: Simplify right side
    615.39x = 355,724.88
  5. Step 5: Solve for x
    x = 355,724.88/615.39
  6. Step 6: Final answer
    x = 578.05

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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.