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Finding the Fourth Proportional to 505.70, 758.41 and 217.07

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Solution

The fourth proportional to 505.70, 758.41 and 217.07 is: 325.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.70 : 758.41 = 217.07 : x
  2. Step 2: Convert to fraction form
    505.70/758.41 = 217.07/x
  3. Step 3: Cross multiply
    505.70x = 758.41 × 217.07
  4. Step 4: Simplify right side
    505.70x = 164,623.18
  5. Step 5: Solve for x
    x = 164,623.18/505.70
  6. Step 6: Final answer
    x = 325.54

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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.