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Finding the Fourth Proportional to 526.02, 789.38 and 201.39

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Solution

The fourth proportional to 526.02, 789.38 and 201.39 is: 302.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.02 : 789.38 = 201.39 : x
  2. Step 2: Convert to fraction form
    526.02/789.38 = 201.39/x
  3. Step 3: Cross multiply
    526.02x = 789.38 × 201.39
  4. Step 4: Simplify right side
    526.02x = 158,973.24
  5. Step 5: Solve for x
    x = 158,973.24/526.02
  6. Step 6: Final answer
    x = 302.22

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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.