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Finding the Fourth Proportional to 475.64, 712.94 and 244.21

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Solution

The fourth proportional to 475.64, 712.94 and 244.21 is: 366.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.64 : 712.94 = 244.21 : x
  2. Step 2: Convert to fraction form
    475.64/712.94 = 244.21/x
  3. Step 3: Cross multiply
    475.64x = 712.94 × 244.21
  4. Step 4: Simplify right side
    475.64x = 174,107.08
  5. Step 5: Solve for x
    x = 174,107.08/475.64
  6. Step 6: Final answer
    x = 366.05

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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.