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Finding the Fourth Proportional to 605.16, 835.17 and 418.76

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Solution

The fourth proportional to 605.16, 835.17 and 418.76 is: 577.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.16 : 835.17 = 418.76 : x
  2. Step 2: Convert to fraction form
    605.16/835.17 = 418.76/x
  3. Step 3: Cross multiply
    605.16x = 835.17 × 418.76
  4. Step 4: Simplify right side
    605.16x = 349,735.79
  5. Step 5: Solve for x
    x = 349,735.79/605.16
  6. Step 6: Final answer
    x = 577.92

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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.