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Finding the Fourth Proportional to 301.82, 450.23 and 297.86

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Solution

The fourth proportional to 301.82, 450.23 and 297.86 is: 444.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.82 : 450.23 = 297.86 : x
  2. Step 2: Convert to fraction form
    301.82/450.23 = 297.86/x
  3. Step 3: Cross multiply
    301.82x = 450.23 × 297.86
  4. Step 4: Simplify right side
    301.82x = 134,101.77
  5. Step 5: Solve for x
    x = 134,101.77/301.82
  6. Step 6: Final answer
    x = 444.32

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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.