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Finding the Fourth Proportional to 509.42, 763.68 and 249.28

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Solution

The fourth proportional to 509.42, 763.68 and 249.28 is: 373.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.42 : 763.68 = 249.28 : x
  2. Step 2: Convert to fraction form
    509.42/763.68 = 249.28/x
  3. Step 3: Cross multiply
    509.42x = 763.68 × 249.28
  4. Step 4: Simplify right side
    509.42x = 190,366.33
  5. Step 5: Solve for x
    x = 190,366.33/509.42
  6. Step 6: Final answer
    x = 373.69

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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.