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Finding the Fourth Proportional to 401.07, 553.77 and 284.43

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Solution

The fourth proportional to 401.07, 553.77 and 284.43 is: 392.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.07 : 553.77 = 284.43 : x
  2. Step 2: Convert to fraction form
    401.07/553.77 = 284.43/x
  3. Step 3: Cross multiply
    401.07x = 553.77 × 284.43
  4. Step 4: Simplify right side
    401.07x = 157,508.80
  5. Step 5: Solve for x
    x = 157,508.80/401.07
  6. Step 6: Final answer
    x = 392.72

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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.