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Finding the Fourth Proportional to 509.26, 763.42 and 184.54

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Solution

The fourth proportional to 509.26, 763.42 and 184.54 is: 276.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.26 : 763.42 = 184.54 : x
  2. Step 2: Convert to fraction form
    509.26/763.42 = 184.54/x
  3. Step 3: Cross multiply
    509.26x = 763.42 × 184.54
  4. Step 4: Simplify right side
    509.26x = 140,881.53
  5. Step 5: Solve for x
    x = 140,881.53/509.26
  6. Step 6: Final answer
    x = 276.64

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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.