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Finding the Fourth Proportional to 476.78, 713.22 and 410.82

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Solution

The fourth proportional to 476.78, 713.22 and 410.82 is: 614.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.78 : 713.22 = 410.82 : x
  2. Step 2: Convert to fraction form
    476.78/713.22 = 410.82/x
  3. Step 3: Cross multiply
    476.78x = 713.22 × 410.82
  4. Step 4: Simplify right side
    476.78x = 293,005.04
  5. Step 5: Solve for x
    x = 293,005.04/476.78
  6. Step 6: Final answer
    x = 614.55

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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.