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Finding the Fourth Proportional to 525.50, 788.28 and 217.38

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Solution

The fourth proportional to 525.50, 788.28 and 217.38 is: 326.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.50 : 788.28 = 217.38 : x
  2. Step 2: Convert to fraction form
    525.50/788.28 = 217.38/x
  3. Step 3: Cross multiply
    525.50x = 788.28 × 217.38
  4. Step 4: Simplify right side
    525.50x = 171,356.31
  5. Step 5: Solve for x
    x = 171,356.31/525.50
  6. Step 6: Final answer
    x = 326.08

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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.