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Finding the Fourth Proportional to 513.04, 708.12 and 333.68

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Solution

The fourth proportional to 513.04, 708.12 and 333.68 is: 460.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.04 : 708.12 = 333.68 : x
  2. Step 2: Convert to fraction form
    513.04/708.12 = 333.68/x
  3. Step 3: Cross multiply
    513.04x = 708.12 × 333.68
  4. Step 4: Simplify right side
    513.04x = 236,285.48
  5. Step 5: Solve for x
    x = 236,285.48/513.04
  6. Step 6: Final answer
    x = 460.56

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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.