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Finding the Fourth Proportional to 365.92, 504.74 and 235.02

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Solution

The fourth proportional to 365.92, 504.74 and 235.02 is: 324.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.92 : 504.74 = 235.02 : x
  2. Step 2: Convert to fraction form
    365.92/504.74 = 235.02/x
  3. Step 3: Cross multiply
    365.92x = 504.74 × 235.02
  4. Step 4: Simplify right side
    365.92x = 118,623.99
  5. Step 5: Solve for x
    x = 118,623.99/365.92
  6. Step 6: Final answer
    x = 324.18

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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.