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Finding the Fourth Proportional to 509.64, 764.24 and 184.78

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Solution

The fourth proportional to 509.64, 764.24 and 184.78 is: 277.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.64 : 764.24 = 184.78 : x
  2. Step 2: Convert to fraction form
    509.64/764.24 = 184.78/x
  3. Step 3: Cross multiply
    509.64x = 764.24 × 184.78
  4. Step 4: Simplify right side
    509.64x = 141,216.30
  5. Step 5: Solve for x
    x = 141,216.30/509.64
  6. Step 6: Final answer
    x = 277.09

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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.