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Finding the Fourth Proportional to 616.07, 850.18 and 354.14

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Solution

The fourth proportional to 616.07, 850.18 and 354.14 is: 488.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.07 : 850.18 = 354.14 : x
  2. Step 2: Convert to fraction form
    616.07/850.18 = 354.14/x
  3. Step 3: Cross multiply
    616.07x = 850.18 × 354.14
  4. Step 4: Simplify right side
    616.07x = 301,082.75
  5. Step 5: Solve for x
    x = 301,082.75/616.07
  6. Step 6: Final answer
    x = 488.72

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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.