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Finding the Fourth Proportional to 512.26, 707 and 354.90

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Solution

The fourth proportional to 512.26, 707 and 354.90 is: 489.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.26 : 707 = 354.90 : x
  2. Step 2: Convert to fraction form
    512.26/707 = 354.90/x
  3. Step 3: Cross multiply
    512.26x = 707 × 354.90
  4. Step 4: Simplify right side
    512.26x = 250,914.30
  5. Step 5: Solve for x
    x = 250,914.30/512.26
  6. Step 6: Final answer
    x = 489.82

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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.