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Finding the Fourth Proportional to 464.32, 696.78 and 427.24

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Solution

The fourth proportional to 464.32, 696.78 and 427.24 is: 641.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.32 : 696.78 = 427.24 : x
  2. Step 2: Convert to fraction form
    464.32/696.78 = 427.24/x
  3. Step 3: Cross multiply
    464.32x = 696.78 × 427.24
  4. Step 4: Simplify right side
    464.32x = 297,692.29
  5. Step 5: Solve for x
    x = 297,692.29/464.32
  6. Step 6: Final answer
    x = 641.14

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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.