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Finding the Fourth Proportional to 474.90, 712.26 and 128.23

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Solution

The fourth proportional to 474.90, 712.26 and 128.23 is: 192.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.90 : 712.26 = 128.23 : x
  2. Step 2: Convert to fraction form
    474.90/712.26 = 128.23/x
  3. Step 3: Cross multiply
    474.90x = 712.26 × 128.23
  4. Step 4: Simplify right side
    474.90x = 91,333.10
  5. Step 5: Solve for x
    x = 91,333.10/474.90
  6. Step 6: Final answer
    x = 192.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.