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Finding the Fourth Proportional to 512.68, 707.46 and 323.76

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Solution

The fourth proportional to 512.68, 707.46 and 323.76 is: 446.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.68 : 707.46 = 323.76 : x
  2. Step 2: Convert to fraction form
    512.68/707.46 = 323.76/x
  3. Step 3: Cross multiply
    512.68x = 707.46 × 323.76
  4. Step 4: Simplify right side
    512.68x = 229,047.25
  5. Step 5: Solve for x
    x = 229,047.25/512.68
  6. Step 6: Final answer
    x = 446.76

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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.