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Finding the Fourth Proportional to 563.66, 845.44 and 286.23

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Solution

The fourth proportional to 563.66, 845.44 and 286.23 is: 429.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.66 : 845.44 = 286.23 : x
  2. Step 2: Convert to fraction form
    563.66/845.44 = 286.23/x
  3. Step 3: Cross multiply
    563.66x = 845.44 × 286.23
  4. Step 4: Simplify right side
    563.66x = 241,992.75
  5. Step 5: Solve for x
    x = 241,992.75/563.66
  6. Step 6: Final answer
    x = 429.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.