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Finding the Fourth Proportional to 563.38, 845.11 and 216.75

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Solution

The fourth proportional to 563.38, 845.11 and 216.75 is: 325.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.38 : 845.11 = 216.75 : x
  2. Step 2: Convert to fraction form
    563.38/845.11 = 216.75/x
  3. Step 3: Cross multiply
    563.38x = 845.11 × 216.75
  4. Step 4: Simplify right side
    563.38x = 183,177.59
  5. Step 5: Solve for x
    x = 183,177.59/563.38
  6. Step 6: Final answer
    x = 325.14

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Double scale
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Similar ratio
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1.5x scale

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.