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Finding the Fourth Proportional to 563.09, 844.20 and 357.23

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Solution

The fourth proportional to 563.09, 844.20 and 357.23 is: 535.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.09 : 844.20 = 357.23 : x
  2. Step 2: Convert to fraction form
    563.09/844.20 = 357.23/x
  3. Step 3: Cross multiply
    563.09x = 844.20 × 357.23
  4. Step 4: Simplify right side
    563.09x = 301,573.57
  5. Step 5: Solve for x
    x = 301,573.57/563.09
  6. Step 6: Final answer
    x = 535.57

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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.