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Finding the Fourth Proportional to 513.12, 708.18 and 316.62

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Solution

The fourth proportional to 513.12, 708.18 and 316.62 is: 436.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.12 : 708.18 = 316.62 : x
  2. Step 2: Convert to fraction form
    513.12/708.18 = 316.62/x
  3. Step 3: Cross multiply
    513.12x = 708.18 × 316.62
  4. Step 4: Simplify right side
    513.12x = 224,223.95
  5. Step 5: Solve for x
    x = 224,223.95/513.12
  6. Step 6: Final answer
    x = 436.98

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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.