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Finding the Fourth Proportional to 616.99, 851.78 and 417.97

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Solution

The fourth proportional to 616.99, 851.78 and 417.97 is: 577.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.99 : 851.78 = 417.97 : x
  2. Step 2: Convert to fraction form
    616.99/851.78 = 417.97/x
  3. Step 3: Cross multiply
    616.99x = 851.78 × 417.97
  4. Step 4: Simplify right side
    616.99x = 356,018.49
  5. Step 5: Solve for x
    x = 356,018.49/616.99
  6. Step 6: Final answer
    x = 577.02

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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.