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Finding the Fourth Proportional to 563.16, 845.10 and 274.62

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Solution

The fourth proportional to 563.16, 845.10 and 274.62 is: 412.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.16 : 845.10 = 274.62 : x
  2. Step 2: Convert to fraction form
    563.16/845.10 = 274.62/x
  3. Step 3: Cross multiply
    563.16x = 845.10 × 274.62
  4. Step 4: Simplify right side
    563.16x = 232,081.36
  5. Step 5: Solve for x
    x = 232,081.36/563.16
  6. Step 6: Final answer
    x = 412.11

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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.