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Finding the Fourth Proportional to 509.95, 764.97 and 144.74

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Solution

The fourth proportional to 509.95, 764.97 and 144.74 is: 217.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.95 : 764.97 = 144.74 : x
  2. Step 2: Convert to fraction form
    509.95/764.97 = 144.74/x
  3. Step 3: Cross multiply
    509.95x = 764.97 × 144.74
  4. Step 4: Simplify right side
    509.95x = 110,717.93
  5. Step 5: Solve for x
    x = 110,717.93/509.95
  6. Step 6: Final answer
    x = 217.12

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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.