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Finding the Fourth Proportional to 513.42, 708.38 and 303.60

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Solution

The fourth proportional to 513.42, 708.38 and 303.60 is: 418.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.42 : 708.38 = 303.60 : x
  2. Step 2: Convert to fraction form
    513.42/708.38 = 303.60/x
  3. Step 3: Cross multiply
    513.42x = 708.38 × 303.60
  4. Step 4: Simplify right side
    513.42x = 215,062.65
  5. Step 5: Solve for x
    x = 215,062.65/513.42
  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.