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Finding the Fourth Proportional to 424.22, 585.24 and 299.98

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Solution

The fourth proportional to 424.22, 585.24 and 299.98 is: 413.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.22 : 585.24 = 299.98 : x
  2. Step 2: Convert to fraction form
    424.22/585.24 = 299.98/x
  3. Step 3: Cross multiply
    424.22x = 585.24 × 299.98
  4. Step 4: Simplify right side
    424.22x = 175,561.56
  5. Step 5: Solve for x
    x = 175,561.56/424.22
  6. Step 6: Final answer
    x = 413.85

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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.