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Finding the Fourth Proportional to 427.45, 588.54 and 377.62

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Solution

The fourth proportional to 427.45, 588.54 and 377.62 is: 519.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.45 : 588.54 = 377.62 : x
  2. Step 2: Convert to fraction form
    427.45/588.54 = 377.62/x
  3. Step 3: Cross multiply
    427.45x = 588.54 × 377.62
  4. Step 4: Simplify right side
    427.45x = 222,244.47
  5. Step 5: Solve for x
    x = 222,244.47/427.45
  6. Step 6: Final answer
    x = 519.93

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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.