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Finding the Fourth Proportional to 596, 894.36 and 401.12

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Solution

The fourth proportional to 596, 894.36 and 401.12 is: 601.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    596 : 894.36 = 401.12 : x
  2. Step 2: Convert to fraction form
    596/894.36 = 401.12/x
  3. Step 3: Cross multiply
    596x = 894.36 × 401.12
  4. Step 4: Simplify right side
    596x = 358,745.68
  5. Step 5: Solve for x
    x = 358,745.68/596
  6. Step 6: Final answer
    x = 601.92

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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.