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Finding the Fourth Proportional to 401.77, 554.63 and 254.61

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Solution

The fourth proportional to 401.77, 554.63 and 254.61 is: 351.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.77 : 554.63 = 254.61 : x
  2. Step 2: Convert to fraction form
    401.77/554.63 = 254.61/x
  3. Step 3: Cross multiply
    401.77x = 554.63 × 254.61
  4. Step 4: Simplify right side
    401.77x = 141,211.57
  5. Step 5: Solve for x
    x = 141,211.57/401.77
  6. Step 6: Final answer
    x = 351.47

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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.