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Finding the Fourth Proportional to 526.22, 788.96 and 217.98

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Solution

The fourth proportional to 526.22, 788.96 and 217.98 is: 326.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.22 : 788.96 = 217.98 : x
  2. Step 2: Convert to fraction form
    526.22/788.96 = 217.98/x
  3. Step 3: Cross multiply
    526.22x = 788.96 × 217.98
  4. Step 4: Simplify right side
    526.22x = 171,977.50
  5. Step 5: Solve for x
    x = 171,977.50/526.22
  6. Step 6: Final answer
    x = 326.82

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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.