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Finding the Fourth Proportional to 468.36, 698.40 and 464.27

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Solution

The fourth proportional to 468.36, 698.40 and 464.27 is: 692.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.36 : 698.40 = 464.27 : x
  2. Step 2: Convert to fraction form
    468.36/698.40 = 464.27/x
  3. Step 3: Cross multiply
    468.36x = 698.40 × 464.27
  4. Step 4: Simplify right side
    468.36x = 324,242.68
  5. Step 5: Solve for x
    x = 324,242.68/468.36
  6. Step 6: Final answer
    x = 692.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.