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Finding the Fourth Proportional to 464.90, 641.84 and 324.77

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Solution

The fourth proportional to 464.90, 641.84 and 324.77 is: 448.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.90 : 641.84 = 324.77 : x
  2. Step 2: Convert to fraction form
    464.90/641.84 = 324.77/x
  3. Step 3: Cross multiply
    464.90x = 641.84 × 324.77
  4. Step 4: Simplify right side
    464.90x = 208,445.54
  5. Step 5: Solve for x
    x = 208,445.54/464.90
  6. Step 6: Final answer
    x = 448.37

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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.