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Finding the Fourth Proportional to 521.14, 719.06 and 311.22

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Solution

The fourth proportional to 521.14, 719.06 and 311.22 is: 429.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.14 : 719.06 = 311.22 : x
  2. Step 2: Convert to fraction form
    521.14/719.06 = 311.22/x
  3. Step 3: Cross multiply
    521.14x = 719.06 × 311.22
  4. Step 4: Simplify right side
    521.14x = 223,785.85
  5. Step 5: Solve for x
    x = 223,785.85/521.14
  6. Step 6: Final answer
    x = 429.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.