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Finding the Fourth Proportional to 464.13, 640.98 and 324.63

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Solution

The fourth proportional to 464.13, 640.98 and 324.63 is: 448.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.13 : 640.98 = 324.63 : x
  2. Step 2: Convert to fraction form
    464.13/640.98 = 324.63/x
  3. Step 3: Cross multiply
    464.13x = 640.98 × 324.63
  4. Step 4: Simplify right side
    464.13x = 208,081.34
  5. Step 5: Solve for x
    x = 208,081.34/464.13
  6. Step 6: Final answer
    x = 448.33

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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.