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Finding the Fourth Proportional to 518.22, 715.34 and 311.22

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Solution

The fourth proportional to 518.22, 715.34 and 311.22 is: 429.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.22 : 715.34 = 311.22 : x
  2. Step 2: Convert to fraction form
    518.22/715.34 = 311.22/x
  3. Step 3: Cross multiply
    518.22x = 715.34 × 311.22
  4. Step 4: Simplify right side
    518.22x = 222,628.11
  5. Step 5: Solve for x
    x = 222,628.11/518.22
  6. Step 6: Final answer
    x = 429.60

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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.