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Finding the Fourth Proportional to 470.28, 705.44 and 177.80

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Solution

The fourth proportional to 470.28, 705.44 and 177.80 is: 266.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.28 : 705.44 = 177.80 : x
  2. Step 2: Convert to fraction form
    470.28/705.44 = 177.80/x
  3. Step 3: Cross multiply
    470.28x = 705.44 × 177.80
  4. Step 4: Simplify right side
    470.28x = 125,427.23
  5. Step 5: Solve for x
    x = 125,427.23/470.28
  6. Step 6: Final answer
    x = 266.71

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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.