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Finding the Fourth Proportional to 597.81, 896.82 and 250.95

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Solution

The fourth proportional to 597.81, 896.82 and 250.95 is: 376.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.81 : 896.82 = 250.95 : x
  2. Step 2: Convert to fraction form
    597.81/896.82 = 250.95/x
  3. Step 3: Cross multiply
    597.81x = 896.82 × 250.95
  4. Step 4: Simplify right side
    597.81x = 225,055.72
  5. Step 5: Solve for x
    x = 225,055.72/597.81
  6. Step 6: Final answer
    x = 376.47

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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.