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Finding the Fourth Proportional to 620.23, 927.78 and 509.29

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Solution

The fourth proportional to 620.23, 927.78 and 509.29 is: 761.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.23 : 927.78 = 509.29 : x
  2. Step 2: Convert to fraction form
    620.23/927.78 = 509.29/x
  3. Step 3: Cross multiply
    620.23x = 927.78 × 509.29
  4. Step 4: Simplify right side
    620.23x = 472,508.33
  5. Step 5: Solve for x
    x = 472,508.33/620.23
  6. Step 6: Final answer
    x = 761.83

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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.