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Finding the Fourth Proportional to 401.93, 602.67 and 170.78

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Solution

The fourth proportional to 401.93, 602.67 and 170.78 is: 256.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.93 : 602.67 = 170.78 : x
  2. Step 2: Convert to fraction form
    401.93/602.67 = 170.78/x
  3. Step 3: Cross multiply
    401.93x = 602.67 × 170.78
  4. Step 4: Simplify right side
    401.93x = 102,923.98
  5. Step 5: Solve for x
    x = 102,923.98/401.93
  6. Step 6: Final answer
    x = 256.07

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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.