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Finding the Fourth Proportional to 469.95, 647.84 and 329.64

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Solution

The fourth proportional to 469.95, 647.84 and 329.64 is: 454.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.95 : 647.84 = 329.64 : x
  2. Step 2: Convert to fraction form
    469.95/647.84 = 329.64/x
  3. Step 3: Cross multiply
    469.95x = 647.84 × 329.64
  4. Step 4: Simplify right side
    469.95x = 213,553.98
  5. Step 5: Solve for x
    x = 213,553.98/469.95
  6. Step 6: Final answer
    x = 454.42

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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.