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Finding the Fourth Proportional to 401.45, 601.64 and 349.83

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Solution

The fourth proportional to 401.45, 601.64 and 349.83 is: 524.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.45 : 601.64 = 349.83 : x
  2. Step 2: Convert to fraction form
    401.45/601.64 = 349.83/x
  3. Step 3: Cross multiply
    401.45x = 601.64 × 349.83
  4. Step 4: Simplify right side
    401.45x = 210,469.97
  5. Step 5: Solve for x
    x = 210,469.97/401.45
  6. Step 6: Final answer
    x = 524.28

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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.