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Finding the Fourth Proportional to 512.46, 706.85 and 316.09

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Solution

The fourth proportional to 512.46, 706.85 and 316.09 is: 435.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.46 : 706.85 = 316.09 : x
  2. Step 2: Convert to fraction form
    512.46/706.85 = 316.09/x
  3. Step 3: Cross multiply
    512.46x = 706.85 × 316.09
  4. Step 4: Simplify right side
    512.46x = 223,428.22
  5. Step 5: Solve for x
    x = 223,428.22/512.46
  6. Step 6: Final answer
    x = 435.99

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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.