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Finding the Fourth Proportional to 509.61, 764.29 and 144.38

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Solution

The fourth proportional to 509.61, 764.29 and 144.38 is: 216.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.61 : 764.29 = 144.38 : x
  2. Step 2: Convert to fraction form
    509.61/764.29 = 144.38/x
  3. Step 3: Cross multiply
    509.61x = 764.29 × 144.38
  4. Step 4: Simplify right side
    509.61x = 110,348.19
  5. Step 5: Solve for x
    x = 110,348.19/509.61
  6. Step 6: Final answer
    x = 216.53

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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.