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Finding the Fourth Proportional to 509.63, 764.64 and 185.02

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Solution

The fourth proportional to 509.63, 764.64 and 185.02 is: 277.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.63 : 764.64 = 185.02 : x
  2. Step 2: Convert to fraction form
    509.63/764.64 = 185.02/x
  3. Step 3: Cross multiply
    509.63x = 764.64 × 185.02
  4. Step 4: Simplify right side
    509.63x = 141,471.78
  5. Step 5: Solve for x
    x = 141,471.78/509.63
  6. Step 6: Final answer
    x = 277.60

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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.