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Finding the Fourth Proportional to 427.39, 589.65 and 269.95

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Solution

The fourth proportional to 427.39, 589.65 and 269.95 is: 372.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.39 : 589.65 = 269.95 : x
  2. Step 2: Convert to fraction form
    427.39/589.65 = 269.95/x
  3. Step 3: Cross multiply
    427.39x = 589.65 × 269.95
  4. Step 4: Simplify right side
    427.39x = 159,176.02
  5. Step 5: Solve for x
    x = 159,176.02/427.39
  6. Step 6: Final answer
    x = 372.44

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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.