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Finding the Fourth Proportional to 615.92, 850.08 and 354.02

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Solution

The fourth proportional to 615.92, 850.08 and 354.02 is: 488.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.92 : 850.08 = 354.02 : x
  2. Step 2: Convert to fraction form
    615.92/850.08 = 354.02/x
  3. Step 3: Cross multiply
    615.92x = 850.08 × 354.02
  4. Step 4: Simplify right side
    615.92x = 300,945.32
  5. Step 5: Solve for x
    x = 300,945.32/615.92
  6. Step 6: Final answer
    x = 488.61

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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.