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Finding the Fourth Proportional to 365.91, 504.89 and 234.90

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Solution

The fourth proportional to 365.91, 504.89 and 234.90 is: 324.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.91 : 504.89 = 234.90 : x
  2. Step 2: Convert to fraction form
    365.91/504.89 = 234.90/x
  3. Step 3: Cross multiply
    365.91x = 504.89 × 234.90
  4. Step 4: Simplify right side
    365.91x = 118,597.49
  5. Step 5: Solve for x
    x = 118,597.49/365.91
  6. Step 6: Final answer
    x = 324.12

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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.