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Finding the Fourth Proportional to 563.68, 839.52 and 544.48

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Solution

The fourth proportional to 563.68, 839.52 and 544.48 is: 810.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.68 : 839.52 = 544.48 : x
  2. Step 2: Convert to fraction form
    563.68/839.52 = 544.48/x
  3. Step 3: Cross multiply
    563.68x = 839.52 × 544.48
  4. Step 4: Simplify right side
    563.68x = 457,101.85
  5. Step 5: Solve for x
    x = 457,101.85/563.68
  6. Step 6: Final answer
    x = 810.92

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Why These Related Problems?

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