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Finding the Fourth Proportional to 467.29, 644.60 and 292.33

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Solution

The fourth proportional to 467.29, 644.60 and 292.33 is: 403.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.29 : 644.60 = 292.33 : x
  2. Step 2: Convert to fraction form
    467.29/644.60 = 292.33/x
  3. Step 3: Cross multiply
    467.29x = 644.60 × 292.33
  4. Step 4: Simplify right side
    467.29x = 188,434.46
  5. Step 5: Solve for x
    x = 188,434.46/467.29
  6. Step 6: Final answer
    x = 403.25

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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.