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Finding the Fourth Proportional to 465.77, 697.85 and 344.27

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Solution

The fourth proportional to 465.77, 697.85 and 344.27 is: 515.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.77 : 697.85 = 344.27 : x
  2. Step 2: Convert to fraction form
    465.77/697.85 = 344.27/x
  3. Step 3: Cross multiply
    465.77x = 697.85 × 344.27
  4. Step 4: Simplify right side
    465.77x = 240,250.13
  5. Step 5: Solve for x
    x = 240,250.13/465.77
  6. Step 6: Final answer
    x = 515.81

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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.