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Finding the Fourth Proportional to 534.75, 738 and 301.89

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Solution

The fourth proportional to 534.75, 738 and 301.89 is: 416.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.75 : 738 = 301.89 : x
  2. Step 2: Convert to fraction form
    534.75/738 = 301.89/x
  3. Step 3: Cross multiply
    534.75x = 738 × 301.89
  4. Step 4: Simplify right side
    534.75x = 222,794.82
  5. Step 5: Solve for x
    x = 222,794.82/534.75
  6. Step 6: Final answer
    x = 416.63

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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.