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Finding the Fourth Proportional to 534.33, 800.82 and 361.35

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Solution

The fourth proportional to 534.33, 800.82 and 361.35 is: 541.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.33 : 800.82 = 361.35 : x
  2. Step 2: Convert to fraction form
    534.33/800.82 = 361.35/x
  3. Step 3: Cross multiply
    534.33x = 800.82 × 361.35
  4. Step 4: Simplify right side
    534.33x = 289,376.31
  5. Step 5: Solve for x
    x = 289,376.31/534.33
  6. Step 6: Final answer
    x = 541.57

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