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Finding the Fourth Proportional to 526.46, 789.78 and 234.07

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Solution

The fourth proportional to 526.46, 789.78 and 234.07 is: 351.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.46 : 789.78 = 234.07 : x
  2. Step 2: Convert to fraction form
    526.46/789.78 = 234.07/x
  3. Step 3: Cross multiply
    526.46x = 789.78 × 234.07
  4. Step 4: Simplify right side
    526.46x = 184,859.86
  5. Step 5: Solve for x
    x = 184,859.86/526.46
  6. Step 6: Final answer
    x = 351.14

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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.