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Finding the Fourth Proportional to 464.24, 640.72 and 267.78

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Solution

The fourth proportional to 464.24, 640.72 and 267.78 is: 369.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.24 : 640.72 = 267.78 : x
  2. Step 2: Convert to fraction form
    464.24/640.72 = 267.78/x
  3. Step 3: Cross multiply
    464.24x = 640.72 × 267.78
  4. Step 4: Simplify right side
    464.24x = 171,570.66
  5. Step 5: Solve for x
    x = 171,570.66/464.24
  6. Step 6: Final answer
    x = 369.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.