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Finding the Fourth Proportional to 301.20, 416.46 and 296.55

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Solution

The fourth proportional to 301.20, 416.46 and 296.55 is: 410.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.20 : 416.46 = 296.55 : x
  2. Step 2: Convert to fraction form
    301.20/416.46 = 296.55/x
  3. Step 3: Cross multiply
    301.20x = 416.46 × 296.55
  4. Step 4: Simplify right side
    301.20x = 123,501.21
  5. Step 5: Solve for x
    x = 123,501.21/301.20
  6. Step 6: Final answer
    x = 410.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.