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Finding the Fourth Proportional to 464.12, 640.40 and 267.59

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Solution

The fourth proportional to 464.12, 640.40 and 267.59 is: 369.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.12 : 640.40 = 267.59 : x
  2. Step 2: Convert to fraction form
    464.12/640.40 = 267.59/x
  3. Step 3: Cross multiply
    464.12x = 640.40 × 267.59
  4. Step 4: Simplify right side
    464.12x = 171,360.10
  5. Step 5: Solve for x
    x = 171,360.10/464.12
  6. Step 6: Final answer
    x = 369.22

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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.