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Finding the Fourth Proportional to 563.50, 845.67 and 274.93

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Solution

The fourth proportional to 563.50, 845.67 and 274.93 is: 412.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.50 : 845.67 = 274.93 : x
  2. Step 2: Convert to fraction form
    563.50/845.67 = 274.93/x
  3. Step 3: Cross multiply
    563.50x = 845.67 × 274.93
  4. Step 4: Simplify right side
    563.50x = 232,500.05
  5. Step 5: Solve for x
    x = 232,500.05/563.50
  6. Step 6: Final answer
    x = 412.60

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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.