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Finding the Fourth Proportional to 297.72, 410.40 and 238.59

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Solution

The fourth proportional to 297.72, 410.40 and 238.59 is: 328.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.72 : 410.40 = 238.59 : x
  2. Step 2: Convert to fraction form
    297.72/410.40 = 238.59/x
  3. Step 3: Cross multiply
    297.72x = 410.40 × 238.59
  4. Step 4: Simplify right side
    297.72x = 97,917.34
  5. Step 5: Solve for x
    x = 97,917.34/297.72
  6. Step 6: Final answer
    x = 328.89

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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.