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Finding the Fourth Proportional to 596.28, 894.74 and 353.08

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Solution

The fourth proportional to 596.28, 894.74 and 353.08 is: 529.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.28 : 894.74 = 353.08 : x
  2. Step 2: Convert to fraction form
    596.28/894.74 = 353.08/x
  3. Step 3: Cross multiply
    596.28x = 894.74 × 353.08
  4. Step 4: Simplify right side
    596.28x = 315,914.80
  5. Step 5: Solve for x
    x = 315,914.80/596.28
  6. Step 6: Final answer
    x = 529.81

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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.