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Finding the Fourth Proportional to 474.45, 712.04 and 243.53

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Solution

The fourth proportional to 474.45, 712.04 and 243.53 is: 365.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.45 : 712.04 = 243.53 : x
  2. Step 2: Convert to fraction form
    474.45/712.04 = 243.53/x
  3. Step 3: Cross multiply
    474.45x = 712.04 × 243.53
  4. Step 4: Simplify right side
    474.45x = 173,403.66
  5. Step 5: Solve for x
    x = 173,403.66/474.45
  6. Step 6: Final answer
    x = 365.48

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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.