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Finding the Fourth Proportional to 526.12, 789.48 and 282.78

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Solution

The fourth proportional to 526.12, 789.48 and 282.78 is: 424.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.12 : 789.48 = 282.78 : x
  2. Step 2: Convert to fraction form
    526.12/789.48 = 282.78/x
  3. Step 3: Cross multiply
    526.12x = 789.48 × 282.78
  4. Step 4: Simplify right side
    526.12x = 223,249.15
  5. Step 5: Solve for x
    x = 223,249.15/526.12
  6. Step 6: Final answer
    x = 424.33

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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.