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Finding the Fourth Proportional to 328.06, 491.10 and 269.74

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Solution

The fourth proportional to 328.06, 491.10 and 269.74 is: 403.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.06 : 491.10 = 269.74 : x
  2. Step 2: Convert to fraction form
    328.06/491.10 = 269.74/x
  3. Step 3: Cross multiply
    328.06x = 491.10 × 269.74
  4. Step 4: Simplify right side
    328.06x = 132,469.31
  5. Step 5: Solve for x
    x = 132,469.31/328.06
  6. Step 6: Final answer
    x = 403.80

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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.