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Finding the Fourth Proportional to 589.80, 814 and 337.80

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Solution

The fourth proportional to 589.80, 814 and 337.80 is: 466.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.80 : 814 = 337.80 : x
  2. Step 2: Convert to fraction form
    589.80/814 = 337.80/x
  3. Step 3: Cross multiply
    589.80x = 814 × 337.80
  4. Step 4: Simplify right side
    589.80x = 274,969.20
  5. Step 5: Solve for x
    x = 274,969.20/589.80
  6. Step 6: Final answer
    x = 466.21

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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.