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Finding the Fourth Proportional to 563.70, 845.91 and 274.98

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Solution

The fourth proportional to 563.70, 845.91 and 274.98 is: 412.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.70 : 845.91 = 274.98 : x
  2. Step 2: Convert to fraction form
    563.70/845.91 = 274.98/x
  3. Step 3: Cross multiply
    563.70x = 845.91 × 274.98
  4. Step 4: Simplify right side
    563.70x = 232,602.73
  5. Step 5: Solve for x
    x = 232,602.73/563.70
  6. Step 6: Final answer
    x = 412.64

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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.