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Finding the Fourth Proportional to 401.99, 602.93 and 109.47

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Solution

The fourth proportional to 401.99, 602.93 and 109.47 is: 164.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.99 : 602.93 = 109.47 : x
  2. Step 2: Convert to fraction form
    401.99/602.93 = 109.47/x
  3. Step 3: Cross multiply
    401.99x = 602.93 × 109.47
  4. Step 4: Simplify right side
    401.99x = 66,002.75
  5. Step 5: Solve for x
    x = 66,002.75/401.99
  6. Step 6: Final answer
    x = 164.19

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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.