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Finding the Fourth Proportional to 401.78, 602.78 and 170.69

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Solution

The fourth proportional to 401.78, 602.78 and 170.69 is: 256.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.78 : 602.78 = 170.69 : x
  2. Step 2: Convert to fraction form
    401.78/602.78 = 170.69/x
  3. Step 3: Cross multiply
    401.78x = 602.78 × 170.69
  4. Step 4: Simplify right side
    401.78x = 102,885.93
  5. Step 5: Solve for x
    x = 102,885.93/401.78
  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.