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Finding the Fourth Proportional to 534.75, 801.50 and 241.91

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Solution

The fourth proportional to 534.75, 801.50 and 241.91 is: 362.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.75 : 801.50 = 241.91 : x
  2. Step 2: Convert to fraction form
    534.75/801.50 = 241.91/x
  3. Step 3: Cross multiply
    534.75x = 801.50 × 241.91
  4. Step 4: Simplify right side
    534.75x = 193,890.87
  5. Step 5: Solve for x
    x = 193,890.87/534.75
  6. Step 6: Final answer
    x = 362.58

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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.