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Finding the Fourth Proportional to 620.20, 929.09 and 345.47

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Solution

The fourth proportional to 620.20, 929.09 and 345.47 is: 517.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.20 : 929.09 = 345.47 : x
  2. Step 2: Convert to fraction form
    620.20/929.09 = 345.47/x
  3. Step 3: Cross multiply
    620.20x = 929.09 × 345.47
  4. Step 4: Simplify right side
    620.20x = 320,968.94
  5. Step 5: Solve for x
    x = 320,968.94/620.20
  6. Step 6: Final answer
    x = 517.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.