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Finding the Fourth Proportional to 470.51, 705.09 and 277.73

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Solution

The fourth proportional to 470.51, 705.09 and 277.73 is: 416.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.51 : 705.09 = 277.73 : x
  2. Step 2: Convert to fraction form
    470.51/705.09 = 277.73/x
  3. Step 3: Cross multiply
    470.51x = 705.09 × 277.73
  4. Step 4: Simplify right side
    470.51x = 195,823.24
  5. Step 5: Solve for x
    x = 195,823.24/470.51
  6. Step 6: Final answer
    x = 416.19

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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.