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Finding the Fourth Proportional to 448.43, 672.77 and 188.29

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Solution

The fourth proportional to 448.43, 672.77 and 188.29 is: 282.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.43 : 672.77 = 188.29 : x
  2. Step 2: Convert to fraction form
    448.43/672.77 = 188.29/x
  3. Step 3: Cross multiply
    448.43x = 672.77 × 188.29
  4. Step 4: Simplify right side
    448.43x = 126,678.56
  5. Step 5: Solve for x
    x = 126,678.56/448.43
  6. Step 6: Final answer
    x = 282.50

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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.