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Finding the Fourth Proportional to 464.23, 640.62 and 267.74

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Solution

The fourth proportional to 464.23, 640.62 and 267.74 is: 369.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.23 : 640.62 = 267.74 : x
  2. Step 2: Convert to fraction form
    464.23/640.62 = 267.74/x
  3. Step 3: Cross multiply
    464.23x = 640.62 × 267.74
  4. Step 4: Simplify right side
    464.23x = 171,516.40
  5. Step 5: Solve for x
    x = 171,516.40/464.23
  6. Step 6: Final answer
    x = 369.47

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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.