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Finding the Fourth Proportional to 469.32, 647.22 and 329.37

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Solution

The fourth proportional to 469.32, 647.22 and 329.37 is: 454.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.32 : 647.22 = 329.37 : x
  2. Step 2: Convert to fraction form
    469.32/647.22 = 329.37/x
  3. Step 3: Cross multiply
    469.32x = 647.22 × 329.37
  4. Step 4: Simplify right side
    469.32x = 213,174.85
  5. Step 5: Solve for x
    x = 213,174.85/469.32
  6. Step 6: Final answer
    x = 454.22

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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.