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Finding the Fourth Proportional to 367.82, 507.63 and 235.05

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Solution

The fourth proportional to 367.82, 507.63 and 235.05 is: 324.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.82 : 507.63 = 235.05 : x
  2. Step 2: Convert to fraction form
    367.82/507.63 = 235.05/x
  3. Step 3: Cross multiply
    367.82x = 507.63 × 235.05
  4. Step 4: Simplify right side
    367.82x = 119,315.89
  5. Step 5: Solve for x
    x = 119,315.89/367.82
  6. Step 6: Final answer
    x = 324.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.