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Finding the Fourth Proportional to 476.28, 713.61 and 411.48

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Solution

The fourth proportional to 476.28, 713.61 and 411.48 is: 616.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.28 : 713.61 = 411.48 : x
  2. Step 2: Convert to fraction form
    476.28/713.61 = 411.48/x
  3. Step 3: Cross multiply
    476.28x = 713.61 × 411.48
  4. Step 4: Simplify right side
    476.28x = 293,636.24
  5. Step 5: Solve for x
    x = 293,636.24/476.28
  6. Step 6: Final answer
    x = 616.52

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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.