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Finding the Fourth Proportional to 563.69, 847.13 and 332.69

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Solution

The fourth proportional to 563.69, 847.13 and 332.69 is: 499.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.69 : 847.13 = 332.69 : x
  2. Step 2: Convert to fraction form
    563.69/847.13 = 332.69/x
  3. Step 3: Cross multiply
    563.69x = 847.13 × 332.69
  4. Step 4: Simplify right side
    563.69x = 281,825.78
  5. Step 5: Solve for x
    x = 281,825.78/563.69
  6. Step 6: Final answer
    x = 499.96

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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.