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Finding the Fourth Proportional to 476.08, 713.17 and 411.07

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Solution

The fourth proportional to 476.08, 713.17 and 411.07 is: 615.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.08 : 713.17 = 411.07 : x
  2. Step 2: Convert to fraction form
    476.08/713.17 = 411.07/x
  3. Step 3: Cross multiply
    476.08x = 713.17 × 411.07
  4. Step 4: Simplify right side
    476.08x = 293,162.79
  5. Step 5: Solve for x
    x = 293,162.79/476.08
  6. Step 6: Final answer
    x = 615.78

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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.