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Finding the Fourth Proportional to 509.57, 763.83 and 249.41

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Solution

The fourth proportional to 509.57, 763.83 and 249.41 is: 373.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.57 : 763.83 = 249.41 : x
  2. Step 2: Convert to fraction form
    509.57/763.83 = 249.41/x
  3. Step 3: Cross multiply
    509.57x = 763.83 × 249.41
  4. Step 4: Simplify right side
    509.57x = 190,506.84
  5. Step 5: Solve for x
    x = 190,506.84/509.57
  6. Step 6: Final answer
    x = 373.86

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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.