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Finding the Fourth Proportional to 464.19, 640.42 and 267.65

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Solution

The fourth proportional to 464.19, 640.42 and 267.65 is: 369.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.19 : 640.42 = 267.65 : x
  2. Step 2: Convert to fraction form
    464.19/640.42 = 267.65/x
  3. Step 3: Cross multiply
    464.19x = 640.42 × 267.65
  4. Step 4: Simplify right side
    464.19x = 171,408.41
  5. Step 5: Solve for x
    x = 171,408.41/464.19
  6. Step 6: Final answer
    x = 369.26

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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.