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Finding the Fourth Proportional to 474.70, 712.06 and 366.62

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Solution

The fourth proportional to 474.70, 712.06 and 366.62 is: 549.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.70 : 712.06 = 366.62 : x
  2. Step 2: Convert to fraction form
    474.70/712.06 = 366.62/x
  3. Step 3: Cross multiply
    474.70x = 712.06 × 366.62
  4. Step 4: Simplify right side
    474.70x = 261,055.44
  5. Step 5: Solve for x
    x = 261,055.44/474.70
  6. Step 6: Final answer
    x = 549.94

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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.