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Finding the Fourth Proportional to 467.06, 644.54 and 267.89

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Solution

The fourth proportional to 467.06, 644.54 and 267.89 is: 369.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.06 : 644.54 = 267.89 : x
  2. Step 2: Convert to fraction form
    467.06/644.54 = 267.89/x
  3. Step 3: Cross multiply
    467.06x = 644.54 × 267.89
  4. Step 4: Simplify right side
    467.06x = 172,665.82
  5. Step 5: Solve for x
    x = 172,665.82/467.06
  6. Step 6: Final answer
    x = 369.69

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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.