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Finding the Fourth Proportional to 509.83, 764.88 and 185.23

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Solution

The fourth proportional to 509.83, 764.88 and 185.23 is: 277.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.83 : 764.88 = 185.23 : x
  2. Step 2: Convert to fraction form
    509.83/764.88 = 185.23/x
  3. Step 3: Cross multiply
    509.83x = 764.88 × 185.23
  4. Step 4: Simplify right side
    509.83x = 141,678.72
  5. Step 5: Solve for x
    x = 141,678.72/509.83
  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.