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Finding the Fourth Proportional to 597.29, 896.00 and 268.23

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Solution

The fourth proportional to 597.29, 896.00 and 268.23 is: 402.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.29 : 896.00 = 268.23 : x
  2. Step 2: Convert to fraction form
    597.29/896.00 = 268.23/x
  3. Step 3: Cross multiply
    597.29x = 896.00 × 268.23
  4. Step 4: Simplify right side
    597.29x = 240,332.74
  5. Step 5: Solve for x
    x = 240,332.74/597.29
  6. Step 6: Final answer
    x = 402.38

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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.