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Finding the Fourth Proportional to 616.14, 850.21 and 354.16

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Solution

The fourth proportional to 616.14, 850.21 and 354.16 is: 488.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.14 : 850.21 = 354.16 : x
  2. Step 2: Convert to fraction form
    616.14/850.21 = 354.16/x
  3. Step 3: Cross multiply
    616.14x = 850.21 × 354.16
  4. Step 4: Simplify right side
    616.14x = 301,110.37
  5. Step 5: Solve for x
    x = 301,110.37/616.14
  6. Step 6: Final answer
    x = 488.70

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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.