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Finding the Fourth Proportional to 616.08, 850.02 and 354.06

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Solution

The fourth proportional to 616.08, 850.02 and 354.06 is: 488.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.08 : 850.02 = 354.06 : x
  2. Step 2: Convert to fraction form
    616.08/850.02 = 354.06/x
  3. Step 3: Cross multiply
    616.08x = 850.02 × 354.06
  4. Step 4: Simplify right side
    616.08x = 300,958.08
  5. Step 5: Solve for x
    x = 300,958.08/616.08
  6. Step 6: Final answer
    x = 488.50

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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.