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Finding the Fourth Proportional to 563.78, 845.17 and 256.03

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Solution

The fourth proportional to 563.78, 845.17 and 256.03 is: 383.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.78 : 845.17 = 256.03 : x
  2. Step 2: Convert to fraction form
    563.78/845.17 = 256.03/x
  3. Step 3: Cross multiply
    563.78x = 845.17 × 256.03
  4. Step 4: Simplify right side
    563.78x = 216,386.12
  5. Step 5: Solve for x
    x = 216,386.12/563.78
  6. Step 6: Final answer
    x = 383.81

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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.