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Finding the Fourth Proportional to 471.33, 705.89 and 239.66

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Solution

The fourth proportional to 471.33, 705.89 and 239.66 is: 358.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.33 : 705.89 = 239.66 : x
  2. Step 2: Convert to fraction form
    471.33/705.89 = 239.66/x
  3. Step 3: Cross multiply
    471.33x = 705.89 × 239.66
  4. Step 4: Simplify right side
    471.33x = 169,173.31
  5. Step 5: Solve for x
    x = 169,173.31/471.33
  6. Step 6: Final answer
    x = 358.93

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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.