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Finding the Fourth Proportional to 465.57, 697.38 and 367.62

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Solution

The fourth proportional to 465.57, 697.38 and 367.62 is: 550.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.57 : 697.38 = 367.62 : x
  2. Step 2: Convert to fraction form
    465.57/697.38 = 367.62/x
  3. Step 3: Cross multiply
    465.57x = 697.38 × 367.62
  4. Step 4: Simplify right side
    465.57x = 256,370.84
  5. Step 5: Solve for x
    x = 256,370.84/465.57
  6. Step 6: Final answer
    x = 550.66

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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.