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Finding the Fourth Proportional to 467.04, 644.22 and 298.92

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Solution

The fourth proportional to 467.04, 644.22 and 298.92 is: 412.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.04 : 644.22 = 298.92 : x
  2. Step 2: Convert to fraction form
    467.04/644.22 = 298.92/x
  3. Step 3: Cross multiply
    467.04x = 644.22 × 298.92
  4. Step 4: Simplify right side
    467.04x = 192,570.24
  5. Step 5: Solve for x
    x = 192,570.24/467.04
  6. Step 6: Final answer
    x = 412.32

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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.