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Finding the Fourth Proportional to 401.77, 605.41 and 334.81

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Solution

The fourth proportional to 401.77, 605.41 and 334.81 is: 504.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.77 : 605.41 = 334.81 : x
  2. Step 2: Convert to fraction form
    401.77/605.41 = 334.81/x
  3. Step 3: Cross multiply
    401.77x = 605.41 × 334.81
  4. Step 4: Simplify right side
    401.77x = 202,697.32
  5. Step 5: Solve for x
    x = 202,697.32/401.77
  6. Step 6: Final answer
    x = 504.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.