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Finding the Fourth Proportional to 470.81, 706.32 and 182.25

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Solution

The fourth proportional to 470.81, 706.32 and 182.25 is: 273.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.81 : 706.32 = 182.25 : x
  2. Step 2: Convert to fraction form
    470.81/706.32 = 182.25/x
  3. Step 3: Cross multiply
    470.81x = 706.32 × 182.25
  4. Step 4: Simplify right side
    470.81x = 128,726.82
  5. Step 5: Solve for x
    x = 128,726.82/470.81
  6. Step 6: Final answer
    x = 273.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.