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Finding the Fourth Proportional to 596.88, 894.12 and 411.20

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Solution

The fourth proportional to 596.88, 894.12 and 411.20 is: 615.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.88 : 894.12 = 411.20 : x
  2. Step 2: Convert to fraction form
    596.88/894.12 = 411.20/x
  3. Step 3: Cross multiply
    596.88x = 894.12 × 411.20
  4. Step 4: Simplify right side
    596.88x = 367,662.14
  5. Step 5: Solve for x
    x = 367,662.14/596.88
  6. Step 6: Final answer
    x = 615.97

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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.