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Finding the Fourth Proportional to 474.44, 712.74 and 455

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Solution

The fourth proportional to 474.44, 712.74 and 455 is: 683.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.44 : 712.74 = 455 : x
  2. Step 2: Convert to fraction form
    474.44/712.74 = 455/x
  3. Step 3: Cross multiply
    474.44x = 712.74 × 455
  4. Step 4: Simplify right side
    474.44x = 324,296.70
  5. Step 5: Solve for x
    x = 324,296.70/474.44
  6. Step 6: Final answer
    x = 683.54

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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.