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Finding the Fourth Proportional to 563.62, 845.67 and 482.26

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Solution

The fourth proportional to 563.62, 845.67 and 482.26 is: 723.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.62 : 845.67 = 482.26 : x
  2. Step 2: Convert to fraction form
    563.62/845.67 = 482.26/x
  3. Step 3: Cross multiply
    563.62x = 845.67 × 482.26
  4. Step 4: Simplify right side
    563.62x = 407,832.81
  5. Step 5: Solve for x
    x = 407,832.81/563.62
  6. Step 6: Final answer
    x = 723.60

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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.