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Finding the Fourth Proportional to 563.94, 849.06 and 495.90

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Solution

The fourth proportional to 563.94, 849.06 and 495.90 is: 746.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.94 : 849.06 = 495.90 : x
  2. Step 2: Convert to fraction form
    563.94/849.06 = 495.90/x
  3. Step 3: Cross multiply
    563.94x = 849.06 × 495.90
  4. Step 4: Simplify right side
    563.94x = 421,048.85
  5. Step 5: Solve for x
    x = 421,048.85/563.94
  6. Step 6: Final answer
    x = 746.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.