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Finding the Fourth Proportional to 525.41, 788.22 and 200.87

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Solution

The fourth proportional to 525.41, 788.22 and 200.87 is: 301.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.41 : 788.22 = 200.87 : x
  2. Step 2: Convert to fraction form
    525.41/788.22 = 200.87/x
  3. Step 3: Cross multiply
    525.41x = 788.22 × 200.87
  4. Step 4: Simplify right side
    525.41x = 158,325.81
  5. Step 5: Solve for x
    x = 158,325.81/525.41
  6. Step 6: Final answer
    x = 301.34

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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.