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Finding the Fourth Proportional to 525.97, 788.97 and 237.41

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Solution

The fourth proportional to 525.97, 788.97 and 237.41 is: 356.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.97 : 788.97 = 237.41 : x
  2. Step 2: Convert to fraction form
    525.97/788.97 = 237.41/x
  3. Step 3: Cross multiply
    525.97x = 788.97 × 237.41
  4. Step 4: Simplify right side
    525.97x = 187,309.37
  5. Step 5: Solve for x
    x = 187,309.37/525.97
  6. Step 6: Final answer
    x = 356.12

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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.