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Finding the Fourth Proportional to 474.84, 712.34 and 150.20

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Solution

The fourth proportional to 474.84, 712.34 and 150.20 is: 225.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.84 : 712.34 = 150.20 : x
  2. Step 2: Convert to fraction form
    474.84/712.34 = 150.20/x
  3. Step 3: Cross multiply
    474.84x = 712.34 × 150.20
  4. Step 4: Simplify right side
    474.84x = 106,993.47
  5. Step 5: Solve for x
    x = 106,993.47/474.84
  6. Step 6: Final answer
    x = 225.33

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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.