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Finding the Fourth Proportional to 297.83, 410.78 and 235.56

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Solution

The fourth proportional to 297.83, 410.78 and 235.56 is: 324.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.83 : 410.78 = 235.56 : x
  2. Step 2: Convert to fraction form
    297.83/410.78 = 235.56/x
  3. Step 3: Cross multiply
    297.83x = 410.78 × 235.56
  4. Step 4: Simplify right side
    297.83x = 96,763.34
  5. Step 5: Solve for x
    x = 96,763.34/297.83
  6. Step 6: Final answer
    x = 324.89

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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.