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Finding the Fourth Proportional to 509.79, 764.74 and 185.08

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Solution

The fourth proportional to 509.79, 764.74 and 185.08 is: 277.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.79 : 764.74 = 185.08 : x
  2. Step 2: Convert to fraction form
    509.79/764.74 = 185.08/x
  3. Step 3: Cross multiply
    509.79x = 764.74 × 185.08
  4. Step 4: Simplify right side
    509.79x = 141,536.79
  5. Step 5: Solve for x
    x = 141,536.79/509.79
  6. Step 6: Final answer
    x = 277.64

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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.