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Finding the Fourth Proportional to 563.67, 847.10 and 382.33

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Solution

The fourth proportional to 563.67, 847.10 and 382.33 is: 574.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.67 : 847.10 = 382.33 : x
  2. Step 2: Convert to fraction form
    563.67/847.10 = 382.33/x
  3. Step 3: Cross multiply
    563.67x = 847.10 × 382.33
  4. Step 4: Simplify right side
    563.67x = 323,867.51
  5. Step 5: Solve for x
    x = 323,867.51/563.67
  6. Step 6: Final answer
    x = 574.57

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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.