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Finding the Fourth Proportional to 568.56, 852.57 and 337.48

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Solution

The fourth proportional to 568.56, 852.57 and 337.48 is: 506.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.56 : 852.57 = 337.48 : x
  2. Step 2: Convert to fraction form
    568.56/852.57 = 337.48/x
  3. Step 3: Cross multiply
    568.56x = 852.57 × 337.48
  4. Step 4: Simplify right side
    568.56x = 287,719.37
  5. Step 5: Solve for x
    x = 287,719.37/568.56
  6. Step 6: Final answer
    x = 506.05

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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.