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Finding the Fourth Proportional to 563.78, 844.05 and 416.54

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Solution

The fourth proportional to 563.78, 844.05 and 416.54 is: 623.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.78 : 844.05 = 416.54 : x
  2. Step 2: Convert to fraction form
    563.78/844.05 = 416.54/x
  3. Step 3: Cross multiply
    563.78x = 844.05 × 416.54
  4. Step 4: Simplify right side
    563.78x = 351,580.59
  5. Step 5: Solve for x
    x = 351,580.59/563.78
  6. Step 6: Final answer
    x = 623.61

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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.