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Finding the Fourth Proportional to 365.89, 546.23 and 353.07

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Solution

The fourth proportional to 365.89, 546.23 and 353.07 is: 527.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.89 : 546.23 = 353.07 : x
  2. Step 2: Convert to fraction form
    365.89/546.23 = 353.07/x
  3. Step 3: Cross multiply
    365.89x = 546.23 × 353.07
  4. Step 4: Simplify right side
    365.89x = 192,859.03
  5. Step 5: Solve for x
    x = 192,859.03/365.89
  6. Step 6: Final answer
    x = 527.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.