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Finding the Fourth Proportional to 401.86, 554.96 and 277.84

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Solution

The fourth proportional to 401.86, 554.96 and 277.84 is: 383.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.86 : 554.96 = 277.84 : x
  2. Step 2: Convert to fraction form
    401.86/554.96 = 277.84/x
  3. Step 3: Cross multiply
    401.86x = 554.96 × 277.84
  4. Step 4: Simplify right side
    401.86x = 154,190.09
  5. Step 5: Solve for x
    x = 154,190.09/401.86
  6. Step 6: Final answer
    x = 383.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.