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Finding the Fourth Proportional to 365.70, 504.64 and 225.83

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Solution

The fourth proportional to 365.70, 504.64 and 225.83 is: 311.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.70 : 504.64 = 225.83 : x
  2. Step 2: Convert to fraction form
    365.70/504.64 = 225.83/x
  3. Step 3: Cross multiply
    365.70x = 504.64 × 225.83
  4. Step 4: Simplify right side
    365.70x = 113,962.85
  5. Step 5: Solve for x
    x = 113,962.85/365.70
  6. Step 6: Final answer
    x = 311.63

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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.