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Finding the Fourth Proportional to 367.04, 507.17 and 300.46

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Solution

The fourth proportional to 367.04, 507.17 and 300.46 is: 415.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.04 : 507.17 = 300.46 : x
  2. Step 2: Convert to fraction form
    367.04/507.17 = 300.46/x
  3. Step 3: Cross multiply
    367.04x = 507.17 × 300.46
  4. Step 4: Simplify right side
    367.04x = 152,385.68
  5. Step 5: Solve for x
    x = 152,385.68/367.04
  6. Step 6: Final answer
    x = 415.18

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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.