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Finding the Fourth Proportional to 526.10, 789.20 and 233.57

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Solution

The fourth proportional to 526.10, 789.20 and 233.57 is: 350.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.10 : 789.20 = 233.57 : x
  2. Step 2: Convert to fraction form
    526.10/789.20 = 233.57/x
  3. Step 3: Cross multiply
    526.10x = 789.20 × 233.57
  4. Step 4: Simplify right side
    526.10x = 184,333.44
  5. Step 5: Solve for x
    x = 184,333.44/526.10
  6. Step 6: Final answer
    x = 350.38

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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.