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Finding the Fourth Proportional to 476.92, 712.49 and 474.22

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Solution

The fourth proportional to 476.92, 712.49 and 474.22 is: 708.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.92 : 712.49 = 474.22 : x
  2. Step 2: Convert to fraction form
    476.92/712.49 = 474.22/x
  3. Step 3: Cross multiply
    476.92x = 712.49 × 474.22
  4. Step 4: Simplify right side
    476.92x = 337,877.01
  5. Step 5: Solve for x
    x = 337,877.01/476.92
  6. Step 6: Final answer
    x = 708.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.