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Finding the Fourth Proportional to 597.62, 896.28 and 268.38

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Solution

The fourth proportional to 597.62, 896.28 and 268.38 is: 402.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.62 : 896.28 = 268.38 : x
  2. Step 2: Convert to fraction form
    597.62/896.28 = 268.38/x
  3. Step 3: Cross multiply
    597.62x = 896.28 × 268.38
  4. Step 4: Simplify right side
    597.62x = 240,543.63
  5. Step 5: Solve for x
    x = 240,543.63/597.62
  6. Step 6: Final answer
    x = 402.50

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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.