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Finding the Fourth Proportional to 596.18, 894.61 and 353.18

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Solution

The fourth proportional to 596.18, 894.61 and 353.18 is: 529.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.18 : 894.61 = 353.18 : x
  2. Step 2: Convert to fraction form
    596.18/894.61 = 353.18/x
  3. Step 3: Cross multiply
    596.18x = 894.61 × 353.18
  4. Step 4: Simplify right side
    596.18x = 315,958.36
  5. Step 5: Solve for x
    x = 315,958.36/596.18
  6. Step 6: Final answer
    x = 529.97

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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.