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Finding the Fourth Proportional to 448.43, 672.59 and 284.41

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Solution

The fourth proportional to 448.43, 672.59 and 284.41 is: 426.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.43 : 672.59 = 284.41 : x
  2. Step 2: Convert to fraction form
    448.43/672.59 = 284.41/x
  3. Step 3: Cross multiply
    448.43x = 672.59 × 284.41
  4. Step 4: Simplify right side
    448.43x = 191,290.35
  5. Step 5: Solve for x
    x = 191,290.35/448.43
  6. Step 6: Final answer
    x = 426.58

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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.