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Finding the Fourth Proportional to 505.88, 758.87 and 213.67

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Solution

The fourth proportional to 505.88, 758.87 and 213.67 is: 320.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.88 : 758.87 = 213.67 : x
  2. Step 2: Convert to fraction form
    505.88/758.87 = 213.67/x
  3. Step 3: Cross multiply
    505.88x = 758.87 × 213.67
  4. Step 4: Simplify right side
    505.88x = 162,148.43
  5. Step 5: Solve for x
    x = 162,148.43/505.88
  6. Step 6: Final answer
    x = 320.53

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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.