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Finding the Fourth Proportional to 513.16, 708.39 and 316.78

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Solution

The fourth proportional to 513.16, 708.39 and 316.78 is: 437.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.16 : 708.39 = 316.78 : x
  2. Step 2: Convert to fraction form
    513.16/708.39 = 316.78/x
  3. Step 3: Cross multiply
    513.16x = 708.39 × 316.78
  4. Step 4: Simplify right side
    513.16x = 224,403.78
  5. Step 5: Solve for x
    x = 224,403.78/513.16
  6. Step 6: Final answer
    x = 437.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.