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Finding the Fourth Proportional to 525.89, 788.27 and 217.58

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Solution

The fourth proportional to 525.89, 788.27 and 217.58 is: 326.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.89 : 788.27 = 217.58 : x
  2. Step 2: Convert to fraction form
    525.89/788.27 = 217.58/x
  3. Step 3: Cross multiply
    525.89x = 788.27 × 217.58
  4. Step 4: Simplify right side
    525.89x = 171,506.76
  5. Step 5: Solve for x
    x = 171,506.76/525.89
  6. Step 6: Final answer
    x = 326.13

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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.