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Finding the Fourth Proportional to 471.06, 705.72 and 324.81

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Solution

The fourth proportional to 471.06, 705.72 and 324.81 is: 486.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.06 : 705.72 = 324.81 : x
  2. Step 2: Convert to fraction form
    471.06/705.72 = 324.81/x
  3. Step 3: Cross multiply
    471.06x = 705.72 × 324.81
  4. Step 4: Simplify right side
    471.06x = 229,224.91
  5. Step 5: Solve for x
    x = 229,224.91/471.06
  6. Step 6: Final answer
    x = 486.62

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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.