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Finding the Fourth Proportional to 356.23, 536.44 and 311.11

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Solution

The fourth proportional to 356.23, 536.44 and 311.11 is: 468.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.23 : 536.44 = 311.11 : x
  2. Step 2: Convert to fraction form
    356.23/536.44 = 311.11/x
  3. Step 3: Cross multiply
    356.23x = 536.44 × 311.11
  4. Step 4: Simplify right side
    356.23x = 166,891.85
  5. Step 5: Solve for x
    x = 166,891.85/356.23
  6. Step 6: Final answer
    x = 468.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.