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Finding the Fourth Proportional to 616.28, 850.14 and 417.11

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Solution

The fourth proportional to 616.28, 850.14 and 417.11 is: 575.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.28 : 850.14 = 417.11 : x
  2. Step 2: Convert to fraction form
    616.28/850.14 = 417.11/x
  3. Step 3: Cross multiply
    616.28x = 850.14 × 417.11
  4. Step 4: Simplify right side
    616.28x = 354,604.02
  5. Step 5: Solve for x
    x = 354,604.02/616.28
  6. Step 6: Final answer
    x = 575.40

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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.