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Finding the Fourth Proportional to 470.69, 706.03 and 182.19

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Solution

The fourth proportional to 470.69, 706.03 and 182.19 is: 273.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.69 : 706.03 = 182.19 : x
  2. Step 2: Convert to fraction form
    470.69/706.03 = 182.19/x
  3. Step 3: Cross multiply
    470.69x = 706.03 × 182.19
  4. Step 4: Simplify right side
    470.69x = 128,631.61
  5. Step 5: Solve for x
    x = 128,631.61/470.69
  6. Step 6: Final answer
    x = 273.28

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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.