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Finding the Fourth Proportional to 513.60, 708.42 and 338.94

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Solution

The fourth proportional to 513.60, 708.42 and 338.94 is: 467.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.60 : 708.42 = 338.94 : x
  2. Step 2: Convert to fraction form
    513.60/708.42 = 338.94/x
  3. Step 3: Cross multiply
    513.60x = 708.42 × 338.94
  4. Step 4: Simplify right side
    513.60x = 240,111.87
  5. Step 5: Solve for x
    x = 240,111.87/513.60
  6. Step 6: Final answer
    x = 467.51

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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.