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Finding the Fourth Proportional to 477.75, 716.82 and 189.21

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Solution

The fourth proportional to 477.75, 716.82 and 189.21 is: 283.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.75 : 716.82 = 189.21 : x
  2. Step 2: Convert to fraction form
    477.75/716.82 = 189.21/x
  3. Step 3: Cross multiply
    477.75x = 716.82 × 189.21
  4. Step 4: Simplify right side
    477.75x = 135,629.51
  5. Step 5: Solve for x
    x = 135,629.51/477.75
  6. Step 6: Final answer
    x = 283.89

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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.