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Finding the Fourth Proportional to 616.19, 850.31 and 354.20

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Solution

The fourth proportional to 616.19, 850.31 and 354.20 is: 488.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.19 : 850.31 = 354.20 : x
  2. Step 2: Convert to fraction form
    616.19/850.31 = 354.20/x
  3. Step 3: Cross multiply
    616.19x = 850.31 × 354.20
  4. Step 4: Simplify right side
    616.19x = 301,173.78
  5. Step 5: Solve for x
    x = 301,173.78/616.19
  6. Step 6: Final answer
    x = 488.77

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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.