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Finding the Fourth Proportional to 505.14, 757.80 and 216.78

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Solution

The fourth proportional to 505.14, 757.80 and 216.78 is: 325.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.14 : 757.80 = 216.78 : x
  2. Step 2: Convert to fraction form
    505.14/757.80 = 216.78/x
  3. Step 3: Cross multiply
    505.14x = 757.80 × 216.78
  4. Step 4: Simplify right side
    505.14x = 164,275.88
  5. Step 5: Solve for x
    x = 164,275.88/505.14
  6. Step 6: Final answer
    x = 325.21

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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.