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Finding the Fourth Proportional to 471.65, 650.83 and 285.08

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Solution

The fourth proportional to 471.65, 650.83 and 285.08 is: 393.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.65 : 650.83 = 285.08 : x
  2. Step 2: Convert to fraction form
    471.65/650.83 = 285.08/x
  3. Step 3: Cross multiply
    471.65x = 650.83 × 285.08
  4. Step 4: Simplify right side
    471.65x = 185,538.62
  5. Step 5: Solve for x
    x = 185,538.62/471.65
  6. Step 6: Final answer
    x = 393.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.