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Finding the Fourth Proportional to 513.37, 708.42 and 303.55

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Solution

The fourth proportional to 513.37, 708.42 and 303.55 is: 418.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.37 : 708.42 = 303.55 : x
  2. Step 2: Convert to fraction form
    513.37/708.42 = 303.55/x
  3. Step 3: Cross multiply
    513.37x = 708.42 × 303.55
  4. Step 4: Simplify right side
    513.37x = 215,040.89
  5. Step 5: Solve for x
    x = 215,040.89/513.37
  6. Step 6: Final answer
    x = 418.88

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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.