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Finding the Fourth Proportional to 328.24, 491.72 and 263.36

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Solution

The fourth proportional to 328.24, 491.72 and 263.36 is: 394.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.24 : 491.72 = 263.36 : x
  2. Step 2: Convert to fraction form
    328.24/491.72 = 263.36/x
  3. Step 3: Cross multiply
    328.24x = 491.72 × 263.36
  4. Step 4: Simplify right side
    328.24x = 129,499.38
  5. Step 5: Solve for x
    x = 129,499.38/328.24
  6. Step 6: Final answer
    x = 394.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.