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Finding the Fourth Proportional to 563.26, 777.18 and 408.28

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Solution

The fourth proportional to 563.26, 777.18 and 408.28 is: 563.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.26 : 777.18 = 408.28 : x
  2. Step 2: Convert to fraction form
    563.26/777.18 = 408.28/x
  3. Step 3: Cross multiply
    563.26x = 777.18 × 408.28
  4. Step 4: Simplify right side
    563.26x = 317,307.05
  5. Step 5: Solve for x
    x = 317,307.05/563.26
  6. Step 6: Final answer
    x = 563.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.