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Finding the Fourth Proportional to 509.42, 764.14 and 162.82

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Solution

The fourth proportional to 509.42, 764.14 and 162.82 is: 244.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.42 : 764.14 = 162.82 : x
  2. Step 2: Convert to fraction form
    509.42/764.14 = 162.82/x
  3. Step 3: Cross multiply
    509.42x = 764.14 × 162.82
  4. Step 4: Simplify right side
    509.42x = 124,417.27
  5. Step 5: Solve for x
    x = 124,417.27/509.42
  6. Step 6: Final answer
    x = 244.23

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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.