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Finding the Fourth Proportional to 563.82, 844.58 and 332.01

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Solution

The fourth proportional to 563.82, 844.58 and 332.01 is: 497.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.82 : 844.58 = 332.01 : x
  2. Step 2: Convert to fraction form
    563.82/844.58 = 332.01/x
  3. Step 3: Cross multiply
    563.82x = 844.58 × 332.01
  4. Step 4: Simplify right side
    563.82x = 280,409.01
  5. Step 5: Solve for x
    x = 280,409.01/563.82
  6. Step 6: Final answer
    x = 497.34

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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.