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Finding the Fourth Proportional to 476.43, 712.73 and 412.13

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Solution

The fourth proportional to 476.43, 712.73 and 412.13 is: 616.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.43 : 712.73 = 412.13 : x
  2. Step 2: Convert to fraction form
    476.43/712.73 = 412.13/x
  3. Step 3: Cross multiply
    476.43x = 712.73 × 412.13
  4. Step 4: Simplify right side
    476.43x = 293,731.79
  5. Step 5: Solve for x
    x = 293,731.79/476.43
  6. Step 6: Final answer
    x = 616.53

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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.