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Finding the Fourth Proportional to 509.43, 763.49 and 277.82

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Solution

The fourth proportional to 509.43, 763.49 and 277.82 is: 416.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.43 : 763.49 = 277.82 : x
  2. Step 2: Convert to fraction form
    509.43/763.49 = 277.82/x
  3. Step 3: Cross multiply
    509.43x = 763.49 × 277.82
  4. Step 4: Simplify right side
    509.43x = 212,112.79
  5. Step 5: Solve for x
    x = 212,112.79/509.43
  6. Step 6: Final answer
    x = 416.37

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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.