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Finding the Fourth Proportional to 616.32, 850.46 and 354.42

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Solution

The fourth proportional to 616.32, 850.46 and 354.42 is: 489.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.32 : 850.46 = 354.42 : x
  2. Step 2: Convert to fraction form
    616.32/850.46 = 354.42/x
  3. Step 3: Cross multiply
    616.32x = 850.46 × 354.42
  4. Step 4: Simplify right side
    616.32x = 301,420.03
  5. Step 5: Solve for x
    x = 301,420.03/616.32
  6. Step 6: Final answer
    x = 489.06

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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.