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Finding the Fourth Proportional to 597.07, 896.12 and 250.64

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Solution

The fourth proportional to 597.07, 896.12 and 250.64 is: 376.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.07 : 896.12 = 250.64 : x
  2. Step 2: Convert to fraction form
    597.07/896.12 = 250.64/x
  3. Step 3: Cross multiply
    597.07x = 896.12 × 250.64
  4. Step 4: Simplify right side
    597.07x = 224,603.52
  5. Step 5: Solve for x
    x = 224,603.52/597.07
  6. Step 6: Final answer
    x = 376.18

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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.