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Finding the Fourth Proportional to 568.70, 852.44 and 385.64

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Solution

The fourth proportional to 568.70, 852.44 and 385.64 is: 578.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.70 : 852.44 = 385.64 : x
  2. Step 2: Convert to fraction form
    568.70/852.44 = 385.64/x
  3. Step 3: Cross multiply
    568.70x = 852.44 × 385.64
  4. Step 4: Simplify right side
    568.70x = 328,734.96
  5. Step 5: Solve for x
    x = 328,734.96/568.70
  6. Step 6: Final answer
    x = 578.05

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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.