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Finding the Fourth Proportional to 596.30, 892.15 and 365.14

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Solution

The fourth proportional to 596.30, 892.15 and 365.14 is: 546.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.30 : 892.15 = 365.14 : x
  2. Step 2: Convert to fraction form
    596.30/892.15 = 365.14/x
  3. Step 3: Cross multiply
    596.30x = 892.15 × 365.14
  4. Step 4: Simplify right side
    596.30x = 325,759.65
  5. Step 5: Solve for x
    x = 325,759.65/596.30
  6. Step 6: Final answer
    x = 546.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.