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Finding the Fourth Proportional to 568.40, 852.54 and 183.64

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Solution

The fourth proportional to 568.40, 852.54 and 183.64 is: 275.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.40 : 852.54 = 183.64 : x
  2. Step 2: Convert to fraction form
    568.40/852.54 = 183.64/x
  3. Step 3: Cross multiply
    568.40x = 852.54 × 183.64
  4. Step 4: Simplify right side
    568.40x = 156,560.45
  5. Step 5: Solve for x
    x = 156,560.45/568.40
  6. Step 6: Final answer
    x = 275.44

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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.