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Finding the Fourth Proportional to 401.14, 601.76 and 279.10

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Solution

The fourth proportional to 401.14, 601.76 and 279.10 is: 418.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.14 : 601.76 = 279.10 : x
  2. Step 2: Convert to fraction form
    401.14/601.76 = 279.10/x
  3. Step 3: Cross multiply
    401.14x = 601.76 × 279.10
  4. Step 4: Simplify right side
    401.14x = 167,951.22
  5. Step 5: Solve for x
    x = 167,951.22/401.14
  6. Step 6: Final answer
    x = 418.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.