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Finding the Fourth Proportional to 563.78, 845.57 and 255.56

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Solution

The fourth proportional to 563.78, 845.57 and 255.56 is: 383.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.78 : 845.57 = 255.56 : x
  2. Step 2: Convert to fraction form
    563.78/845.57 = 255.56/x
  3. Step 3: Cross multiply
    563.78x = 845.57 × 255.56
  4. Step 4: Simplify right side
    563.78x = 216,097.24
  5. Step 5: Solve for x
    x = 216,097.24/563.78
  6. Step 6: Final answer
    x = 383.30

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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.