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Finding the Fourth Proportional to 512.29, 707.07 and 325.74

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Solution

The fourth proportional to 512.29, 707.07 and 325.74 is: 449.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.29 : 707.07 = 325.74 : x
  2. Step 2: Convert to fraction form
    512.29/707.07 = 325.74/x
  3. Step 3: Cross multiply
    512.29x = 707.07 × 325.74
  4. Step 4: Simplify right side
    512.29x = 230,322.94
  5. Step 5: Solve for x
    x = 230,322.94/512.29
  6. Step 6: Final answer
    x = 449.60

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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.