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Finding the Fourth Proportional to 415.45, 573.22 and 263.98

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Solution

The fourth proportional to 415.45, 573.22 and 263.98 is: 364.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.45 : 573.22 = 263.98 : x
  2. Step 2: Convert to fraction form
    415.45/573.22 = 263.98/x
  3. Step 3: Cross multiply
    415.45x = 573.22 × 263.98
  4. Step 4: Simplify right side
    415.45x = 151,314.43
  5. Step 5: Solve for x
    x = 151,314.43/415.45
  6. Step 6: Final answer
    x = 364.22

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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.