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Finding the Fourth Proportional to 526.88, 789.29 and 362.33

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Solution

The fourth proportional to 526.88, 789.29 and 362.33 is: 542.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.88 : 789.29 = 362.33 : x
  2. Step 2: Convert to fraction form
    526.88/789.29 = 362.33/x
  3. Step 3: Cross multiply
    526.88x = 789.29 × 362.33
  4. Step 4: Simplify right side
    526.88x = 285,977.69
  5. Step 5: Solve for x
    x = 285,977.69/526.88
  6. Step 6: Final answer
    x = 542.78

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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.