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Finding the Fourth Proportional to 505.52, 757.68 and 216.80

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Solution

The fourth proportional to 505.52, 757.68 and 216.80 is: 324.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.52 : 757.68 = 216.80 : x
  2. Step 2: Convert to fraction form
    505.52/757.68 = 216.80/x
  3. Step 3: Cross multiply
    505.52x = 757.68 × 216.80
  4. Step 4: Simplify right side
    505.52x = 164,265.02
  5. Step 5: Solve for x
    x = 164,265.02/505.52
  6. Step 6: Final answer
    x = 324.94

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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.