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Finding the Fourth Proportional to 473.32, 653.06 and 324.25

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Solution

The fourth proportional to 473.32, 653.06 and 324.25 is: 447.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.32 : 653.06 = 324.25 : x
  2. Step 2: Convert to fraction form
    473.32/653.06 = 324.25/x
  3. Step 3: Cross multiply
    473.32x = 653.06 × 324.25
  4. Step 4: Simplify right side
    473.32x = 211,757.56
  5. Step 5: Solve for x
    x = 211,757.56/473.32
  6. Step 6: Final answer
    x = 447.39

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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.