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Finding the Fourth Proportional to 596.36, 893.38 and 335.57

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Solution

The fourth proportional to 596.36, 893.38 and 335.57 is: 502.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.36 : 893.38 = 335.57 : x
  2. Step 2: Convert to fraction form
    596.36/893.38 = 335.57/x
  3. Step 3: Cross multiply
    596.36x = 893.38 × 335.57
  4. Step 4: Simplify right side
    596.36x = 299,787.16
  5. Step 5: Solve for x
    x = 299,787.16/596.36
  6. Step 6: Final answer
    x = 502.70

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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.