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Finding the Fourth Proportional to 526.29, 789.38 and 233.80

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Solution

The fourth proportional to 526.29, 789.38 and 233.80 is: 350.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.29 : 789.38 = 233.80 : x
  2. Step 2: Convert to fraction form
    526.29/789.38 = 233.80/x
  3. Step 3: Cross multiply
    526.29x = 789.38 × 233.80
  4. Step 4: Simplify right side
    526.29x = 184,552.51
  5. Step 5: Solve for x
    x = 184,552.51/526.29
  6. Step 6: Final answer
    x = 350.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.