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Finding the Fourth Proportional to 464.36, 641.28 and 324.82

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Solution

The fourth proportional to 464.36, 641.28 and 324.82 is: 448.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.36 : 641.28 = 324.82 : x
  2. Step 2: Convert to fraction form
    464.36/641.28 = 324.82/x
  3. Step 3: Cross multiply
    464.36x = 641.28 × 324.82
  4. Step 4: Simplify right side
    464.36x = 208,300.57
  5. Step 5: Solve for x
    x = 208,300.57/464.36
  6. Step 6: Final answer
    x = 448.58

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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.