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Finding the Fourth Proportional to 526.10, 789.19 and 201.29

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Solution

The fourth proportional to 526.10, 789.19 and 201.29 is: 301.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.10 : 789.19 = 201.29 : x
  2. Step 2: Convert to fraction form
    526.10/789.19 = 201.29/x
  3. Step 3: Cross multiply
    526.10x = 789.19 × 201.29
  4. Step 4: Simplify right side
    526.10x = 158,851.61
  5. Step 5: Solve for x
    x = 158,851.61/526.10
  6. Step 6: Final answer
    x = 301.94

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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.