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Finding the Fourth Proportional to 513.38, 708.40 and 316.68

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Solution

The fourth proportional to 513.38, 708.40 and 316.68 is: 436.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.38 : 708.40 = 316.68 : x
  2. Step 2: Convert to fraction form
    513.38/708.40 = 316.68/x
  3. Step 3: Cross multiply
    513.38x = 708.40 × 316.68
  4. Step 4: Simplify right side
    513.38x = 224,336.11
  5. Step 5: Solve for x
    x = 224,336.11/513.38
  6. Step 6: Final answer
    x = 436.98

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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.