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Finding the Fourth Proportional to 477.87, 716.81 and 189.51

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Solution

The fourth proportional to 477.87, 716.81 and 189.51 is: 284.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.87 : 716.81 = 189.51 : x
  2. Step 2: Convert to fraction form
    477.87/716.81 = 189.51/x
  3. Step 3: Cross multiply
    477.87x = 716.81 × 189.51
  4. Step 4: Simplify right side
    477.87x = 135,841.72
  5. Step 5: Solve for x
    x = 135,841.72/477.87
  6. Step 6: Final answer
    x = 284.27

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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.