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Finding the Fourth Proportional to 509.05, 763.21 and 200.58

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Solution

The fourth proportional to 509.05, 763.21 and 200.58 is: 300.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.05 : 763.21 = 200.58 : x
  2. Step 2: Convert to fraction form
    509.05/763.21 = 200.58/x
  3. Step 3: Cross multiply
    509.05x = 763.21 × 200.58
  4. Step 4: Simplify right side
    509.05x = 153,084.66
  5. Step 5: Solve for x
    x = 153,084.66/509.05
  6. Step 6: Final answer
    x = 300.73

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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.