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Finding the Fourth Proportional to 367.74, 507.50 and 220.35

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Solution

The fourth proportional to 367.74, 507.50 and 220.35 is: 304.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.74 : 507.50 = 220.35 : x
  2. Step 2: Convert to fraction form
    367.74/507.50 = 220.35/x
  3. Step 3: Cross multiply
    367.74x = 507.50 × 220.35
  4. Step 4: Simplify right side
    367.74x = 111,826.40
  5. Step 5: Solve for x
    x = 111,826.40/367.74
  6. Step 6: Final answer
    x = 304.09

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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.