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Finding the Fourth Proportional to 596.18, 894.82 and 365.34

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Solution

The fourth proportional to 596.18, 894.82 and 365.34 is: 548.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.18 : 894.82 = 365.34 : x
  2. Step 2: Convert to fraction form
    596.18/894.82 = 365.34/x
  3. Step 3: Cross multiply
    596.18x = 894.82 × 365.34
  4. Step 4: Simplify right side
    596.18x = 326,913.54
  5. Step 5: Solve for x
    x = 326,913.54/596.18
  6. Step 6: Final answer
    x = 548.35

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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.