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Finding the Fourth Proportional to 525.72, 788.24 and 252.02

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Solution

The fourth proportional to 525.72, 788.24 and 252.02 is: 377.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.72 : 788.24 = 252.02 : x
  2. Step 2: Convert to fraction form
    525.72/788.24 = 252.02/x
  3. Step 3: Cross multiply
    525.72x = 788.24 × 252.02
  4. Step 4: Simplify right side
    525.72x = 198,652.24
  5. Step 5: Solve for x
    x = 198,652.24/525.72
  6. Step 6: Final answer
    x = 377.87

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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.