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Finding the Fourth Proportional to 473.40, 653.29 and 263.61

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Solution

The fourth proportional to 473.40, 653.29 and 263.61 is: 363.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.40 : 653.29 = 263.61 : x
  2. Step 2: Convert to fraction form
    473.40/653.29 = 263.61/x
  3. Step 3: Cross multiply
    473.40x = 653.29 × 263.61
  4. Step 4: Simplify right side
    473.40x = 172,213.78
  5. Step 5: Solve for x
    x = 172,213.78/473.40
  6. Step 6: Final answer
    x = 363.78

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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.