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Finding the Fourth Proportional to 563.32, 846.39 and 357.97

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Solution

The fourth proportional to 563.32, 846.39 and 357.97 is: 537.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.32 : 846.39 = 357.97 : x
  2. Step 2: Convert to fraction form
    563.32/846.39 = 357.97/x
  3. Step 3: Cross multiply
    563.32x = 846.39 × 357.97
  4. Step 4: Simplify right side
    563.32x = 302,982.23
  5. Step 5: Solve for x
    x = 302,982.23/563.32
  6. Step 6: Final answer
    x = 537.85

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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.