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Finding the Fourth Proportional to 464.20, 692.21 and 438.28

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Solution

The fourth proportional to 464.20, 692.21 and 438.28 is: 653.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.20 : 692.21 = 438.28 : x
  2. Step 2: Convert to fraction form
    464.20/692.21 = 438.28/x
  3. Step 3: Cross multiply
    464.20x = 692.21 × 438.28
  4. Step 4: Simplify right side
    464.20x = 303,381.80
  5. Step 5: Solve for x
    x = 303,381.80/464.20
  6. Step 6: Final answer
    x = 653.56

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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.