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Finding the Fourth Proportional to 464.77, 641.82 and 299.24

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Solution

The fourth proportional to 464.77, 641.82 and 299.24 is: 413.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.77 : 641.82 = 299.24 : x
  2. Step 2: Convert to fraction form
    464.77/641.82 = 299.24/x
  3. Step 3: Cross multiply
    464.77x = 641.82 × 299.24
  4. Step 4: Simplify right side
    464.77x = 192,058.22
  5. Step 5: Solve for x
    x = 192,058.22/464.77
  6. Step 6: Final answer
    x = 413.23

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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.