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Finding the Fourth Proportional to 526.50, 789.96 and 201.84

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Solution

The fourth proportional to 526.50, 789.96 and 201.84 is: 302.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.50 : 789.96 = 201.84 : x
  2. Step 2: Convert to fraction form
    526.50/789.96 = 201.84/x
  3. Step 3: Cross multiply
    526.50x = 789.96 × 201.84
  4. Step 4: Simplify right side
    526.50x = 159,445.53
  5. Step 5: Solve for x
    x = 159,445.53/526.50
  6. Step 6: Final answer
    x = 302.84

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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.