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Finding the Fourth Proportional to 448.97, 673.71 and 188.94

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Solution

The fourth proportional to 448.97, 673.71 and 188.94 is: 283.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.97 : 673.71 = 188.94 : x
  2. Step 2: Convert to fraction form
    448.97/673.71 = 188.94/x
  3. Step 3: Cross multiply
    448.97x = 673.71 × 188.94
  4. Step 4: Simplify right side
    448.97x = 127,292.59
  5. Step 5: Solve for x
    x = 127,292.59/448.97
  6. Step 6: Final answer
    x = 283.52

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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.