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Finding the Fourth Proportional to 521.22, 719.22 and 311.34

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Solution

The fourth proportional to 521.22, 719.22 and 311.34 is: 429.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.22 : 719.22 = 311.34 : x
  2. Step 2: Convert to fraction form
    521.22/719.22 = 311.34/x
  3. Step 3: Cross multiply
    521.22x = 719.22 × 311.34
  4. Step 4: Simplify right side
    521.22x = 223,921.95
  5. Step 5: Solve for x
    x = 223,921.95/521.22
  6. Step 6: Final answer
    x = 429.61

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