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Finding the Fourth Proportional to 616.67, 850.95 and 417.10

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Solution

The fourth proportional to 616.67, 850.95 and 417.10 is: 575.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.67 : 850.95 = 417.10 : x
  2. Step 2: Convert to fraction form
    616.67/850.95 = 417.10/x
  3. Step 3: Cross multiply
    616.67x = 850.95 × 417.10
  4. Step 4: Simplify right side
    616.67x = 354,929.12
  5. Step 5: Solve for x
    x = 354,929.12/616.67
  6. Step 6: Final answer
    x = 575.56

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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.