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Finding the Fourth Proportional to 534.62, 801.24 and 274.40

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Solution

The fourth proportional to 534.62, 801.24 and 274.40 is: 411.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.62 : 801.24 = 274.40 : x
  2. Step 2: Convert to fraction form
    534.62/801.24 = 274.40/x
  3. Step 3: Cross multiply
    534.62x = 801.24 × 274.40
  4. Step 4: Simplify right side
    534.62x = 219,860.26
  5. Step 5: Solve for x
    x = 219,860.26/534.62
  6. Step 6: Final answer
    x = 411.25

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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.