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Finding the Fourth Proportional to 427.08, 589.23 and 296.13

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Solution

The fourth proportional to 427.08, 589.23 and 296.13 is: 408.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.08 : 589.23 = 296.13 : x
  2. Step 2: Convert to fraction form
    427.08/589.23 = 296.13/x
  3. Step 3: Cross multiply
    427.08x = 589.23 × 296.13
  4. Step 4: Simplify right side
    427.08x = 174,488.68
  5. Step 5: Solve for x
    x = 174,488.68/427.08
  6. Step 6: Final answer
    x = 408.56

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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.