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Finding the Fourth Proportional to 512.53, 707.26 and 315.97

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Solution

The fourth proportional to 512.53, 707.26 and 315.97 is: 436.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.53 : 707.26 = 315.97 : x
  2. Step 2: Convert to fraction form
    512.53/707.26 = 315.97/x
  3. Step 3: Cross multiply
    512.53x = 707.26 × 315.97
  4. Step 4: Simplify right side
    512.53x = 223,468.62
  5. Step 5: Solve for x
    x = 223,468.62/512.53
  6. Step 6: Final answer
    x = 436.02

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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.