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Finding the Fourth Proportional to 469.36, 647.22 and 322.21

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Solution

The fourth proportional to 469.36, 647.22 and 322.21 is: 444.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.36 : 647.22 = 322.21 : x
  2. Step 2: Convert to fraction form
    469.36/647.22 = 322.21/x
  3. Step 3: Cross multiply
    469.36x = 647.22 × 322.21
  4. Step 4: Simplify right side
    469.36x = 208,540.76
  5. Step 5: Solve for x
    x = 208,540.76/469.36
  6. Step 6: Final answer
    x = 444.31

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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.