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Finding the Fourth Proportional to 509.34, 764.06 and 144.13

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Solution

The fourth proportional to 509.34, 764.06 and 144.13 is: 216.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.34 : 764.06 = 144.13 : x
  2. Step 2: Convert to fraction form
    509.34/764.06 = 144.13/x
  3. Step 3: Cross multiply
    509.34x = 764.06 × 144.13
  4. Step 4: Simplify right side
    509.34x = 110,123.97
  5. Step 5: Solve for x
    x = 110,123.97/509.34
  6. Step 6: Final answer
    x = 216.21

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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.