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Finding the Fourth Proportional to 597.26, 894.33 and 412.73

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Solution

The fourth proportional to 597.26, 894.33 and 412.73 is: 618.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.26 : 894.33 = 412.73 : x
  2. Step 2: Convert to fraction form
    597.26/894.33 = 412.73/x
  3. Step 3: Cross multiply
    597.26x = 894.33 × 412.73
  4. Step 4: Simplify right side
    597.26x = 369,112.35
  5. Step 5: Solve for x
    x = 369,112.35/597.26
  6. Step 6: Final answer
    x = 618.01

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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.