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Finding the Fourth Proportional to 301.60, 449.84 and 286.16

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Solution

The fourth proportional to 301.60, 449.84 and 286.16 is: 426.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.60 : 449.84 = 286.16 : x
  2. Step 2: Convert to fraction form
    301.60/449.84 = 286.16/x
  3. Step 3: Cross multiply
    301.60x = 449.84 × 286.16
  4. Step 4: Simplify right side
    301.60x = 128,726.21
  5. Step 5: Solve for x
    x = 128,726.21/301.60
  6. Step 6: Final answer
    x = 426.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.