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Finding the Fourth Proportional to 509.51, 764.11 and 184.80

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Solution

The fourth proportional to 509.51, 764.11 and 184.80 is: 277.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.51 : 764.11 = 184.80 : x
  2. Step 2: Convert to fraction form
    509.51/764.11 = 184.80/x
  3. Step 3: Cross multiply
    509.51x = 764.11 × 184.80
  4. Step 4: Simplify right side
    509.51x = 141,207.53
  5. Step 5: Solve for x
    x = 141,207.53/509.51
  6. Step 6: Final answer
    x = 277.14

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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.