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Finding the Fourth Proportional to 597.40, 896.46 and 381.16

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Solution

The fourth proportional to 597.40, 896.46 and 381.16 is: 571.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.40 : 896.46 = 381.16 : x
  2. Step 2: Convert to fraction form
    597.40/896.46 = 381.16/x
  3. Step 3: Cross multiply
    597.40x = 896.46 × 381.16
  4. Step 4: Simplify right side
    597.40x = 341,694.69
  5. Step 5: Solve for x
    x = 341,694.69/597.40
  6. Step 6: Final answer
    x = 571.97

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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.