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Finding the Fourth Proportional to 328.72, 456.82 and 324.64

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Solution

The fourth proportional to 328.72, 456.82 and 324.64 is: 451.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.72 : 456.82 = 324.64 : x
  2. Step 2: Convert to fraction form
    328.72/456.82 = 324.64/x
  3. Step 3: Cross multiply
    328.72x = 456.82 × 324.64
  4. Step 4: Simplify right side
    328.72x = 148,302.04
  5. Step 5: Solve for x
    x = 148,302.04/328.72
  6. Step 6: Final answer
    x = 451.15

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.