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Finding the Fourth Proportional to 505.76, 759.04 and 217.24

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Solution

The fourth proportional to 505.76, 759.04 and 217.24 is: 326.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.76 : 759.04 = 217.24 : x
  2. Step 2: Convert to fraction form
    505.76/759.04 = 217.24/x
  3. Step 3: Cross multiply
    505.76x = 759.04 × 217.24
  4. Step 4: Simplify right side
    505.76x = 164,893.85
  5. Step 5: Solve for x
    x = 164,893.85/505.76
  6. Step 6: Final answer
    x = 326.03

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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.