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Finding the Fourth Proportional to 597.11, 896.13 and 289.04

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Solution

The fourth proportional to 597.11, 896.13 and 289.04 is: 433.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.11 : 896.13 = 289.04 : x
  2. Step 2: Convert to fraction form
    597.11/896.13 = 289.04/x
  3. Step 3: Cross multiply
    597.11x = 896.13 × 289.04
  4. Step 4: Simplify right side
    597.11x = 259,012.93
  5. Step 5: Solve for x
    x = 259,012.93/597.11
  6. Step 6: Final answer
    x = 433.78

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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.