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Finding the Fourth Proportional to 467.09, 644.31 and 292.13

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Solution

The fourth proportional to 467.09, 644.31 and 292.13 is: 402.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.09 : 644.31 = 292.13 : x
  2. Step 2: Convert to fraction form
    467.09/644.31 = 292.13/x
  3. Step 3: Cross multiply
    467.09x = 644.31 × 292.13
  4. Step 4: Simplify right side
    467.09x = 188,219.06
  5. Step 5: Solve for x
    x = 188,219.06/467.09
  6. Step 6: Final answer
    x = 402.97

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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.