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Finding the Fourth Proportional to 568.28, 852.49 and 534.11

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Solution

The fourth proportional to 568.28, 852.49 and 534.11 is: 801.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.28 : 852.49 = 534.11 : x
  2. Step 2: Convert to fraction form
    568.28/852.49 = 534.11/x
  3. Step 3: Cross multiply
    568.28x = 852.49 × 534.11
  4. Step 4: Simplify right side
    568.28x = 455,324.63
  5. Step 5: Solve for x
    x = 455,324.63/568.28
  6. Step 6: Final answer
    x = 801.23

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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.