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Finding the Fourth Proportional to 615.80, 850.05 and 419.42

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Solution

The fourth proportional to 615.80, 850.05 and 419.42 is: 578.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.80 : 850.05 = 419.42 : x
  2. Step 2: Convert to fraction form
    615.80/850.05 = 419.42/x
  3. Step 3: Cross multiply
    615.80x = 850.05 × 419.42
  4. Step 4: Simplify right side
    615.80x = 356,530.10
  5. Step 5: Solve for x
    x = 356,530.10/615.80
  6. Step 6: Final answer
    x = 578.97

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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.