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Finding the Fourth Proportional to 470.51, 705.83 and 162.39

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Solution

The fourth proportional to 470.51, 705.83 and 162.39 is: 243.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.51 : 705.83 = 162.39 : x
  2. Step 2: Convert to fraction form
    470.51/705.83 = 162.39/x
  3. Step 3: Cross multiply
    470.51x = 705.83 × 162.39
  4. Step 4: Simplify right side
    470.51x = 114,621.57
  5. Step 5: Solve for x
    x = 114,621.57/470.51
  6. Step 6: Final answer
    x = 243.61

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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.