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Finding the Fourth Proportional to 427.16, 589.62 and 414.20

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Solution

The fourth proportional to 427.16, 589.62 and 414.20 is: 571.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.16 : 589.62 = 414.20 : x
  2. Step 2: Convert to fraction form
    427.16/589.62 = 414.20/x
  3. Step 3: Cross multiply
    427.16x = 589.62 × 414.20
  4. Step 4: Simplify right side
    427.16x = 244,217.66
  5. Step 5: Solve for x
    x = 244,217.66/427.16
  6. Step 6: Final answer
    x = 571.73

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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.