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Finding the Fourth Proportional to 588.54, 884.72 and 474.26

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Solution

The fourth proportional to 588.54, 884.72 and 474.26 is: 712.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.54 : 884.72 = 474.26 : x
  2. Step 2: Convert to fraction form
    588.54/884.72 = 474.26/x
  3. Step 3: Cross multiply
    588.54x = 884.72 × 474.26
  4. Step 4: Simplify right side
    588.54x = 419,580.51
  5. Step 5: Solve for x
    x = 419,580.51/588.54
  6. Step 6: Final answer
    x = 712.92

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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.