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Finding the Fourth Proportional to 526.45, 789.21 and 282.73

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Solution

The fourth proportional to 526.45, 789.21 and 282.73 is: 423.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.45 : 789.21 = 282.73 : x
  2. Step 2: Convert to fraction form
    526.45/789.21 = 282.73/x
  3. Step 3: Cross multiply
    526.45x = 789.21 × 282.73
  4. Step 4: Simplify right side
    526.45x = 223,133.34
  5. Step 5: Solve for x
    x = 223,133.34/526.45
  6. Step 6: Final answer
    x = 423.85

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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.