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Finding the Fourth Proportional to 367.35, 507.20 and 234.77

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Solution

The fourth proportional to 367.35, 507.20 and 234.77 is: 324.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.35 : 507.20 = 234.77 : x
  2. Step 2: Convert to fraction form
    367.35/507.20 = 234.77/x
  3. Step 3: Cross multiply
    367.35x = 507.20 × 234.77
  4. Step 4: Simplify right side
    367.35x = 119,071.63
  5. Step 5: Solve for x
    x = 119,071.63/367.35
  6. Step 6: Final answer
    x = 324.14

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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.