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Finding the Fourth Proportional to 525.27, 788.25 and 200.64

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Solution

The fourth proportional to 525.27, 788.25 and 200.64 is: 301.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.27 : 788.25 = 200.64 : x
  2. Step 2: Convert to fraction form
    525.27/788.25 = 200.64/x
  3. Step 3: Cross multiply
    525.27x = 788.25 × 200.64
  4. Step 4: Simplify right side
    525.27x = 158,154.48
  5. Step 5: Solve for x
    x = 158,154.48/525.27
  6. Step 6: Final answer
    x = 301.09

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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.