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Finding the Fourth Proportional to 563.37, 844.46 and 332.37

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Solution

The fourth proportional to 563.37, 844.46 and 332.37 is: 498.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.37 : 844.46 = 332.37 : x
  2. Step 2: Convert to fraction form
    563.37/844.46 = 332.37/x
  3. Step 3: Cross multiply
    563.37x = 844.46 × 332.37
  4. Step 4: Simplify right side
    563.37x = 280,674.88
  5. Step 5: Solve for x
    x = 280,674.88/563.37
  6. Step 6: Final answer
    x = 498.20

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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.