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Finding the Fourth Proportional to 464.87, 641.63 and 324.83

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Solution

The fourth proportional to 464.87, 641.63 and 324.83 is: 448.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.87 : 641.63 = 324.83 : x
  2. Step 2: Convert to fraction form
    464.87/641.63 = 324.83/x
  3. Step 3: Cross multiply
    464.87x = 641.63 × 324.83
  4. Step 4: Simplify right side
    464.87x = 208,420.67
  5. Step 5: Solve for x
    x = 208,420.67/464.87
  6. Step 6: Final answer
    x = 448.34

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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.