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Finding the Fourth Proportional to 509.51, 764.25 and 162.86

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Solution

The fourth proportional to 509.51, 764.25 and 162.86 is: 244.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.51 : 764.25 = 162.86 : x
  2. Step 2: Convert to fraction form
    509.51/764.25 = 162.86/x
  3. Step 3: Cross multiply
    509.51x = 764.25 × 162.86
  4. Step 4: Simplify right side
    509.51x = 124,464.94
  5. Step 5: Solve for x
    x = 124,464.94/509.51
  6. Step 6: Final answer
    x = 244.29

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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.