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Finding the Fourth Proportional to 427.07, 589.20 and 269.66

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Solution

The fourth proportional to 427.07, 589.20 and 269.66 is: 372.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.07 : 589.20 = 269.66 : x
  2. Step 2: Convert to fraction form
    427.07/589.20 = 269.66/x
  3. Step 3: Cross multiply
    427.07x = 589.20 × 269.66
  4. Step 4: Simplify right side
    427.07x = 158,883.67
  5. Step 5: Solve for x
    x = 158,883.67/427.07
  6. Step 6: Final answer
    x = 372.03

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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.