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Finding the Fourth Proportional to 563.93, 778.46 and 362.12

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Solution

The fourth proportional to 563.93, 778.46 and 362.12 is: 499.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.93 : 778.46 = 362.12 : x
  2. Step 2: Convert to fraction form
    563.93/778.46 = 362.12/x
  3. Step 3: Cross multiply
    563.93x = 778.46 × 362.12
  4. Step 4: Simplify right side
    563.93x = 281,890.23
  5. Step 5: Solve for x
    x = 281,890.23/563.93
  6. Step 6: Final answer
    x = 499.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.