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Finding the Fourth Proportional to 301.80, 449.65 and 297.57

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Solution

The fourth proportional to 301.80, 449.65 and 297.57 is: 443.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.80 : 449.65 = 297.57 : x
  2. Step 2: Convert to fraction form
    301.80/449.65 = 297.57/x
  3. Step 3: Cross multiply
    301.80x = 449.65 × 297.57
  4. Step 4: Simplify right side
    301.80x = 133,804.41
  5. Step 5: Solve for x
    x = 133,804.41/301.80
  6. Step 6: Final answer
    x = 443.35

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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.