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Finding the Fourth Proportional to 401.69, 602.47 and 113.06

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Solution

The fourth proportional to 401.69, 602.47 and 113.06 is: 169.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.69 : 602.47 = 113.06 : x
  2. Step 2: Convert to fraction form
    401.69/602.47 = 113.06/x
  3. Step 3: Cross multiply
    401.69x = 602.47 × 113.06
  4. Step 4: Simplify right side
    401.69x = 68,116.91
  5. Step 5: Solve for x
    x = 68,116.91/401.69
  6. Step 6: Final answer
    x = 169.57

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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.