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Finding the Fourth Proportional to 513.34, 708.18 and 311.54

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Solution

The fourth proportional to 513.34, 708.18 and 311.54 is: 429.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.34 : 708.18 = 311.54 : x
  2. Step 2: Convert to fraction form
    513.34/708.18 = 311.54/x
  3. Step 3: Cross multiply
    513.34x = 708.18 × 311.54
  4. Step 4: Simplify right side
    513.34x = 220,626.40
  5. Step 5: Solve for x
    x = 220,626.40/513.34
  6. Step 6: Final answer
    x = 429.79

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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.