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Finding the Fourth Proportional to 357.53, 536.30 and 311.97

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Solution

The fourth proportional to 357.53, 536.30 and 311.97 is: 467.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.53 : 536.30 = 311.97 : x
  2. Step 2: Convert to fraction form
    357.53/536.30 = 311.97/x
  3. Step 3: Cross multiply
    357.53x = 536.30 × 311.97
  4. Step 4: Simplify right side
    357.53x = 167,309.87
  5. Step 5: Solve for x
    x = 167,309.87/357.53
  6. Step 6: Final answer
    x = 467.96

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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.