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Finding the Fourth Proportional to 297.27, 409.33 and 235.08

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Solution

The fourth proportional to 297.27, 409.33 and 235.08 is: 323.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.27 : 409.33 = 235.08 : x
  2. Step 2: Convert to fraction form
    297.27/409.33 = 235.08/x
  3. Step 3: Cross multiply
    297.27x = 409.33 × 235.08
  4. Step 4: Simplify right side
    297.27x = 96,225.30
  5. Step 5: Solve for x
    x = 96,225.30/297.27
  6. Step 6: Final answer
    x = 323.70

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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.