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Finding the Fourth Proportional to 513.18, 708.13 and 347.33

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Solution

The fourth proportional to 513.18, 708.13 and 347.33 is: 479.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.18 : 708.13 = 347.33 : x
  2. Step 2: Convert to fraction form
    513.18/708.13 = 347.33/x
  3. Step 3: Cross multiply
    513.18x = 708.13 × 347.33
  4. Step 4: Simplify right side
    513.18x = 245,954.79
  5. Step 5: Solve for x
    x = 245,954.79/513.18
  6. Step 6: Final answer
    x = 479.28

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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.