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Finding the Fourth Proportional to 525.26, 788.20 and 217.06

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Solution

The fourth proportional to 525.26, 788.20 and 217.06 is: 325.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.26 : 788.20 = 217.06 : x
  2. Step 2: Convert to fraction form
    525.26/788.20 = 217.06/x
  3. Step 3: Cross multiply
    525.26x = 788.20 × 217.06
  4. Step 4: Simplify right side
    525.26x = 171,084.18
  5. Step 5: Solve for x
    x = 171,084.18/525.26
  6. Step 6: Final answer
    x = 325.71

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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.