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Finding the Fourth Proportional to 568.86, 852.96 and 221.90

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Solution

The fourth proportional to 568.86, 852.96 and 221.90 is: 332.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.86 : 852.96 = 221.90 : x
  2. Step 2: Convert to fraction form
    568.86/852.96 = 221.90/x
  3. Step 3: Cross multiply
    568.86x = 852.96 × 221.90
  4. Step 4: Simplify right side
    568.86x = 189,271.82
  5. Step 5: Solve for x
    x = 189,271.82/568.86
  6. Step 6: Final answer
    x = 332.72

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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.