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Finding the Fourth Proportional to 464.82, 641.64 and 299.24

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Solution

The fourth proportional to 464.82, 641.64 and 299.24 is: 413.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.82 : 641.64 = 299.24 : x
  2. Step 2: Convert to fraction form
    464.82/641.64 = 299.24/x
  3. Step 3: Cross multiply
    464.82x = 641.64 × 299.24
  4. Step 4: Simplify right side
    464.82x = 192,002.86
  5. Step 5: Solve for x
    x = 192,002.86/464.82
  6. Step 6: Final answer
    x = 413.07

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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.