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Finding the Fourth Proportional to 473.50, 653.41 and 263.71

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Solution

The fourth proportional to 473.50, 653.41 and 263.71 is: 363.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.50 : 653.41 = 263.71 : x
  2. Step 2: Convert to fraction form
    473.50/653.41 = 263.71/x
  3. Step 3: Cross multiply
    473.50x = 653.41 × 263.71
  4. Step 4: Simplify right side
    473.50x = 172,310.75
  5. Step 5: Solve for x
    x = 172,310.75/473.50
  6. Step 6: Final answer
    x = 363.91

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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.