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Finding the Fourth Proportional to 465.34, 697.22 and 367.46

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Solution

The fourth proportional to 465.34, 697.22 and 367.46 is: 550.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.34 : 697.22 = 367.46 : x
  2. Step 2: Convert to fraction form
    465.34/697.22 = 367.46/x
  3. Step 3: Cross multiply
    465.34x = 697.22 × 367.46
  4. Step 4: Simplify right side
    465.34x = 256,200.46
  5. Step 5: Solve for x
    x = 256,200.46/465.34
  6. Step 6: Final answer
    x = 550.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.