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Finding the Fourth Proportional to 367.67, 507.81 and 332.69

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Solution

The fourth proportional to 367.67, 507.81 and 332.69 is: 459.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.67 : 507.81 = 332.69 : x
  2. Step 2: Convert to fraction form
    367.67/507.81 = 332.69/x
  3. Step 3: Cross multiply
    367.67x = 507.81 × 332.69
  4. Step 4: Simplify right side
    367.67x = 168,943.31
  5. Step 5: Solve for x
    x = 168,943.31/367.67
  6. Step 6: Final answer
    x = 459.50

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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.