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Finding the Fourth Proportional to 534.74, 801.50 and 361.22

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Solution

The fourth proportional to 534.74, 801.50 and 361.22 is: 541.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.74 : 801.50 = 361.22 : x
  2. Step 2: Convert to fraction form
    534.74/801.50 = 361.22/x
  3. Step 3: Cross multiply
    534.74x = 801.50 × 361.22
  4. Step 4: Simplify right side
    534.74x = 289,512.02
  5. Step 5: Solve for x
    x = 289,512.02/534.74
  6. Step 6: Final answer
    x = 541.41

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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.