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Finding the Fourth Proportional to 448.74, 672.57 and 286.54

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Solution

The fourth proportional to 448.74, 672.57 and 286.54 is: 429.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.74 : 672.57 = 286.54 : x
  2. Step 2: Convert to fraction form
    448.74/672.57 = 286.54/x
  3. Step 3: Cross multiply
    448.74x = 672.57 × 286.54
  4. Step 4: Simplify right side
    448.74x = 192,716.53
  5. Step 5: Solve for x
    x = 192,716.53/448.74
  6. Step 6: Final answer
    x = 429.46

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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.