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Finding the Fourth Proportional to 563.29, 845.12 and 347.02

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Solution

The fourth proportional to 563.29, 845.12 and 347.02 is: 520.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.29 : 845.12 = 347.02 : x
  2. Step 2: Convert to fraction form
    563.29/845.12 = 347.02/x
  3. Step 3: Cross multiply
    563.29x = 845.12 × 347.02
  4. Step 4: Simplify right side
    563.29x = 293,272.30
  5. Step 5: Solve for x
    x = 293,272.30/563.29
  6. Step 6: Final answer
    x = 520.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.