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Finding the Fourth Proportional to 425.65, 639.11 and 347.80

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Solution

The fourth proportional to 425.65, 639.11 and 347.80 is: 522.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.65 : 639.11 = 347.80 : x
  2. Step 2: Convert to fraction form
    425.65/639.11 = 347.80/x
  3. Step 3: Cross multiply
    425.65x = 639.11 × 347.80
  4. Step 4: Simplify right side
    425.65x = 222,282.46
  5. Step 5: Solve for x
    x = 222,282.46/425.65
  6. Step 6: Final answer
    x = 522.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.