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Finding the Fourth Proportional to 476.85, 713.88 and 411.60

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Solution

The fourth proportional to 476.85, 713.88 and 411.60 is: 616.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.85 : 713.88 = 411.60 : x
  2. Step 2: Convert to fraction form
    476.85/713.88 = 411.60/x
  3. Step 3: Cross multiply
    476.85x = 713.88 × 411.60
  4. Step 4: Simplify right side
    476.85x = 293,833.01
  5. Step 5: Solve for x
    x = 293,833.01/476.85
  6. Step 6: Final answer
    x = 616.20

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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.