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Finding the Fourth Proportional to 401.57, 554.07 and 254.15

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Solution

The fourth proportional to 401.57, 554.07 and 254.15 is: 350.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.57 : 554.07 = 254.15 : x
  2. Step 2: Convert to fraction form
    401.57/554.07 = 254.15/x
  3. Step 3: Cross multiply
    401.57x = 554.07 × 254.15
  4. Step 4: Simplify right side
    401.57x = 140,817.15
  5. Step 5: Solve for x
    x = 140,817.15/401.57
  6. Step 6: Final answer
    x = 350.67

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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.