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Finding the Fourth Proportional to 509.38, 764.11 and 184.66

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Solution

The fourth proportional to 509.38, 764.11 and 184.66 is: 277.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.38 : 764.11 = 184.66 : x
  2. Step 2: Convert to fraction form
    509.38/764.11 = 184.66/x
  3. Step 3: Cross multiply
    509.38x = 764.11 × 184.66
  4. Step 4: Simplify right side
    509.38x = 141,098.87
  5. Step 5: Solve for x
    x = 141,098.87/509.38
  6. Step 6: Final answer
    x = 277.00

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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.