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Finding the Fourth Proportional to 473.64, 653.31 and 326.34

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Solution

The fourth proportional to 473.64, 653.31 and 326.34 is: 450.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.64 : 653.31 = 326.34 : x
  2. Step 2: Convert to fraction form
    473.64/653.31 = 326.34/x
  3. Step 3: Cross multiply
    473.64x = 653.31 × 326.34
  4. Step 4: Simplify right side
    473.64x = 213,201.19
  5. Step 5: Solve for x
    x = 213,201.19/473.64
  6. Step 6: Final answer
    x = 450.13

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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.