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Finding the Fourth Proportional to 401.76, 554.32 and 254.32

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Solution

The fourth proportional to 401.76, 554.32 and 254.32 is: 350.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.76 : 554.32 = 254.32 : x
  2. Step 2: Convert to fraction form
    401.76/554.32 = 254.32/x
  3. Step 3: Cross multiply
    401.76x = 554.32 × 254.32
  4. Step 4: Simplify right side
    401.76x = 140,974.66
  5. Step 5: Solve for x
    x = 140,974.66/401.76
  6. Step 6: Final answer
    x = 350.89

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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.