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Finding the Fourth Proportional to 401.84, 602.94 and 193.67

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Solution

The fourth proportional to 401.84, 602.94 and 193.67 is: 290.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.84 : 602.94 = 193.67 : x
  2. Step 2: Convert to fraction form
    401.84/602.94 = 193.67/x
  3. Step 3: Cross multiply
    401.84x = 602.94 × 193.67
  4. Step 4: Simplify right side
    401.84x = 116,771.39
  5. Step 5: Solve for x
    x = 116,771.39/401.84
  6. Step 6: Final answer
    x = 290.59

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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.