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Finding the Fourth Proportional to 401.07, 601.30 and 127.01

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Solution

The fourth proportional to 401.07, 601.30 and 127.01 is: 190.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.07 : 601.30 = 127.01 : x
  2. Step 2: Convert to fraction form
    401.07/601.30 = 127.01/x
  3. Step 3: Cross multiply
    401.07x = 601.30 × 127.01
  4. Step 4: Simplify right side
    401.07x = 76,371.11
  5. Step 5: Solve for x
    x = 76,371.11/401.07
  6. Step 6: Final answer
    x = 190.42

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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.