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Finding the Fourth Proportional to 512.32, 707.04 and 325.92

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Solution

The fourth proportional to 512.32, 707.04 and 325.92 is: 449.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.32 : 707.04 = 325.92 : x
  2. Step 2: Convert to fraction form
    512.32/707.04 = 325.92/x
  3. Step 3: Cross multiply
    512.32x = 707.04 × 325.92
  4. Step 4: Simplify right side
    512.32x = 230,438.48
  5. Step 5: Solve for x
    x = 230,438.48/512.32
  6. Step 6: Final answer
    x = 449.79

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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.