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Finding the Fourth Proportional to 596.87, 894.29 and 365.06

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Solution

The fourth proportional to 596.87, 894.29 and 365.06 is: 546.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.87 : 894.29 = 365.06 : x
  2. Step 2: Convert to fraction form
    596.87/894.29 = 365.06/x
  3. Step 3: Cross multiply
    596.87x = 894.29 × 365.06
  4. Step 4: Simplify right side
    596.87x = 326,466.94
  5. Step 5: Solve for x
    x = 326,466.94/596.87
  6. Step 6: Final answer
    x = 546.97

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