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Finding the Fourth Proportional to 526.22, 789.57 and 233.67

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Solution

The fourth proportional to 526.22, 789.57 and 233.67 is: 350.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.22 : 789.57 = 233.67 : x
  2. Step 2: Convert to fraction form
    526.22/789.57 = 233.67/x
  3. Step 3: Cross multiply
    526.22x = 789.57 × 233.67
  4. Step 4: Simplify right side
    526.22x = 184,498.82
  5. Step 5: Solve for x
    x = 184,498.82/526.22
  6. Step 6: Final answer
    x = 350.61

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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.