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Finding the Fourth Proportional to 563.63, 844.70 and 238.59

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Solution

The fourth proportional to 563.63, 844.70 and 238.59 is: 357.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.63 : 844.70 = 238.59 : x
  2. Step 2: Convert to fraction form
    563.63/844.70 = 238.59/x
  3. Step 3: Cross multiply
    563.63x = 844.70 × 238.59
  4. Step 4: Simplify right side
    563.63x = 201,535.78
  5. Step 5: Solve for x
    x = 201,535.78/563.63
  6. Step 6: Final answer
    x = 357.57

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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.