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Finding the Fourth Proportional to 367.79, 507.26 and 305.46

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Solution

The fourth proportional to 367.79, 507.26 and 305.46 is: 421.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.79 : 507.26 = 305.46 : x
  2. Step 2: Convert to fraction form
    367.79/507.26 = 305.46/x
  3. Step 3: Cross multiply
    367.79x = 507.26 × 305.46
  4. Step 4: Simplify right side
    367.79x = 154,948.40
  5. Step 5: Solve for x
    x = 154,948.40/367.79
  6. Step 6: Final answer
    x = 421.30

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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.