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Finding the Fourth Proportional to 563.77, 841.00 and 540.44

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Solution

The fourth proportional to 563.77, 841.00 and 540.44 is: 806.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.77 : 841.00 = 540.44 : x
  2. Step 2: Convert to fraction form
    563.77/841.00 = 540.44/x
  3. Step 3: Cross multiply
    563.77x = 841.00 × 540.44
  4. Step 4: Simplify right side
    563.77x = 454,504.48
  5. Step 5: Solve for x
    x = 454,504.48/563.77
  6. Step 6: Final answer
    x = 806.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.