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Finding the Fourth Proportional to 470.87, 706.30 and 224.22

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Solution

The fourth proportional to 470.87, 706.30 and 224.22 is: 336.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.87 : 706.30 = 224.22 : x
  2. Step 2: Convert to fraction form
    470.87/706.30 = 224.22/x
  3. Step 3: Cross multiply
    470.87x = 706.30 × 224.22
  4. Step 4: Simplify right side
    470.87x = 158,366.59
  5. Step 5: Solve for x
    x = 158,366.59/470.87
  6. Step 6: Final answer
    x = 336.33

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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.