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Finding the Fourth Proportional to 469.12, 647.64 and 321.97

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Solution

The fourth proportional to 469.12, 647.64 and 321.97 is: 444.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.12 : 647.64 = 321.97 : x
  2. Step 2: Convert to fraction form
    469.12/647.64 = 321.97/x
  3. Step 3: Cross multiply
    469.12x = 647.64 × 321.97
  4. Step 4: Simplify right side
    469.12x = 208,520.65
  5. Step 5: Solve for x
    x = 208,520.65/469.12
  6. Step 6: Final answer
    x = 444.49

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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.