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Finding the Fourth Proportional to 596.28, 893.94 and 352.32

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Solution

The fourth proportional to 596.28, 893.94 and 352.32 is: 528.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.28 : 893.94 = 352.32 : x
  2. Step 2: Convert to fraction form
    596.28/893.94 = 352.32/x
  3. Step 3: Cross multiply
    596.28x = 893.94 × 352.32
  4. Step 4: Simplify right side
    596.28x = 314,952.94
  5. Step 5: Solve for x
    x = 314,952.94/596.28
  6. Step 6: Final answer
    x = 528.20

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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.