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Finding the Fourth Proportional to 473.25, 653.10 and 263.43

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Solution

The fourth proportional to 473.25, 653.10 and 263.43 is: 363.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.25 : 653.10 = 263.43 : x
  2. Step 2: Convert to fraction form
    473.25/653.10 = 263.43/x
  3. Step 3: Cross multiply
    473.25x = 653.10 × 263.43
  4. Step 4: Simplify right side
    473.25x = 172,046.13
  5. Step 5: Solve for x
    x = 172,046.13/473.25
  6. Step 6: Final answer
    x = 363.54

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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.