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Finding the Fourth Proportional to 464.02, 640.33 and 267.52

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Solution

The fourth proportional to 464.02, 640.33 and 267.52 is: 369.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.02 : 640.33 = 267.52 : x
  2. Step 2: Convert to fraction form
    464.02/640.33 = 267.52/x
  3. Step 3: Cross multiply
    464.02x = 640.33 × 267.52
  4. Step 4: Simplify right side
    464.02x = 171,301.08
  5. Step 5: Solve for x
    x = 171,301.08/464.02
  6. Step 6: Final answer
    x = 369.17

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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.