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Finding the Fourth Proportional to 509.38, 763.27 and 394.11

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Solution

The fourth proportional to 509.38, 763.27 and 394.11 is: 590.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.38 : 763.27 = 394.11 : x
  2. Step 2: Convert to fraction form
    509.38/763.27 = 394.11/x
  3. Step 3: Cross multiply
    509.38x = 763.27 × 394.11
  4. Step 4: Simplify right side
    509.38x = 300,812.34
  5. Step 5: Solve for x
    x = 300,812.34/509.38
  6. Step 6: Final answer
    x = 590.55

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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.