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Finding the Fourth Proportional to 365.60, 504.63 and 225.74

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Solution

The fourth proportional to 365.60, 504.63 and 225.74 is: 311.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.60 : 504.63 = 225.74 : x
  2. Step 2: Convert to fraction form
    365.60/504.63 = 225.74/x
  3. Step 3: Cross multiply
    365.60x = 504.63 × 225.74
  4. Step 4: Simplify right side
    365.60x = 113,912.65
  5. Step 5: Solve for x
    x = 113,912.65/365.60
  6. Step 6: Final answer
    x = 311.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.