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Finding the Fourth Proportional to 526.50, 789.88 and 201.87

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Solution

The fourth proportional to 526.50, 789.88 and 201.87 is: 302.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.50 : 789.88 = 201.87 : x
  2. Step 2: Convert to fraction form
    526.50/789.88 = 201.87/x
  3. Step 3: Cross multiply
    526.50x = 789.88 × 201.87
  4. Step 4: Simplify right side
    526.50x = 159,450.16
  5. Step 5: Solve for x
    x = 159,450.16/526.50
  6. Step 6: Final answer
    x = 302.85

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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.