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Finding the Fourth Proportional to 563.43, 844.62 and 357.41

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Solution

The fourth proportional to 563.43, 844.62 and 357.41 is: 535.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.43 : 844.62 = 357.41 : x
  2. Step 2: Convert to fraction form
    563.43/844.62 = 357.41/x
  3. Step 3: Cross multiply
    563.43x = 844.62 × 357.41
  4. Step 4: Simplify right side
    563.43x = 301,871.41
  5. Step 5: Solve for x
    x = 301,871.41/563.43
  6. Step 6: Final answer
    x = 535.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.