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Finding the Fourth Proportional to 513.11, 708.15 and 316.68

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Solution

The fourth proportional to 513.11, 708.15 and 316.68 is: 437.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.11 : 708.15 = 316.68 : x
  2. Step 2: Convert to fraction form
    513.11/708.15 = 316.68/x
  3. Step 3: Cross multiply
    513.11x = 708.15 × 316.68
  4. Step 4: Simplify right side
    513.11x = 224,256.94
  5. Step 5: Solve for x
    x = 224,256.94/513.11
  6. Step 6: Final answer
    x = 437.06

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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.