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Finding the Fourth Proportional to 401.99, 554.72 and 254.67

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Solution

The fourth proportional to 401.99, 554.72 and 254.67 is: 351.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.99 : 554.72 = 254.67 : x
  2. Step 2: Convert to fraction form
    401.99/554.72 = 254.67/x
  3. Step 3: Cross multiply
    401.99x = 554.72 × 254.67
  4. Step 4: Simplify right side
    401.99x = 141,267.19
  5. Step 5: Solve for x
    x = 141,267.19/401.99
  6. Step 6: Final answer
    x = 351.42

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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.