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Finding the Fourth Proportional to 473.38, 653.22 and 263.50

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Solution

The fourth proportional to 473.38, 653.22 and 263.50 is: 363.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.38 : 653.22 = 263.50 : x
  2. Step 2: Convert to fraction form
    473.38/653.22 = 263.50/x
  3. Step 3: Cross multiply
    473.38x = 653.22 × 263.50
  4. Step 4: Simplify right side
    473.38x = 172,123.47
  5. Step 5: Solve for x
    x = 172,123.47/473.38
  6. Step 6: Final answer
    x = 363.61

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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.