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Finding the Fourth Proportional to 509.94, 764.98 and 185.24

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Solution

The fourth proportional to 509.94, 764.98 and 185.24 is: 277.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.94 : 764.98 = 185.24 : x
  2. Step 2: Convert to fraction form
    509.94/764.98 = 185.24/x
  3. Step 3: Cross multiply
    509.94x = 764.98 × 185.24
  4. Step 4: Simplify right side
    509.94x = 141,704.90
  5. Step 5: Solve for x
    x = 141,704.90/509.94
  6. Step 6: Final answer
    x = 277.89

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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.