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Finding the Fourth Proportional to 301.46, 449.10 and 290.44

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Solution

The fourth proportional to 301.46, 449.10 and 290.44 is: 432.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.46 : 449.10 = 290.44 : x
  2. Step 2: Convert to fraction form
    301.46/449.10 = 290.44/x
  3. Step 3: Cross multiply
    301.46x = 449.10 × 290.44
  4. Step 4: Simplify right side
    301.46x = 130,436.60
  5. Step 5: Solve for x
    x = 130,436.60/301.46
  6. Step 6: Final answer
    x = 432.68

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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.