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Finding the Fourth Proportional to 563.64, 845.05 and 274.88

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Solution

The fourth proportional to 563.64, 845.05 and 274.88 is: 412.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.64 : 845.05 = 274.88 : x
  2. Step 2: Convert to fraction form
    563.64/845.05 = 274.88/x
  3. Step 3: Cross multiply
    563.64x = 845.05 × 274.88
  4. Step 4: Simplify right side
    563.64x = 232,287.34
  5. Step 5: Solve for x
    x = 232,287.34/563.64
  6. Step 6: Final answer
    x = 412.12

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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.