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Finding the Fourth Proportional to 526.21, 789.38 and 201.53

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Solution

The fourth proportional to 526.21, 789.38 and 201.53 is: 302.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.21 : 789.38 = 201.53 : x
  2. Step 2: Convert to fraction form
    526.21/789.38 = 201.53/x
  3. Step 3: Cross multiply
    526.21x = 789.38 × 201.53
  4. Step 4: Simplify right side
    526.21x = 159,083.75
  5. Step 5: Solve for x
    x = 159,083.75/526.21
  6. Step 6: Final answer
    x = 302.32

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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.