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Finding the Fourth Proportional to 597.06, 892.13 and 474.03

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Solution

The fourth proportional to 597.06, 892.13 and 474.03 is: 708.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.06 : 892.13 = 474.03 : x
  2. Step 2: Convert to fraction form
    597.06/892.13 = 474.03/x
  3. Step 3: Cross multiply
    597.06x = 892.13 × 474.03
  4. Step 4: Simplify right side
    597.06x = 422,894.01
  5. Step 5: Solve for x
    x = 422,894.01/597.06
  6. Step 6: Final answer
    x = 708.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.