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Finding the Fourth Proportional to 597.91, 896.38 and 251.51

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Solution

The fourth proportional to 597.91, 896.38 and 251.51 is: 377.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.91 : 896.38 = 251.51 : x
  2. Step 2: Convert to fraction form
    597.91/896.38 = 251.51/x
  3. Step 3: Cross multiply
    597.91x = 896.38 × 251.51
  4. Step 4: Simplify right side
    597.91x = 225,448.53
  5. Step 5: Solve for x
    x = 225,448.53/597.91
  6. Step 6: Final answer
    x = 377.06

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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.