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Finding the Fourth Proportional to 297.58, 446.29 and 89.39

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Solution

The fourth proportional to 297.58, 446.29 and 89.39 is: 134.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.58 : 446.29 = 89.39 : x
  2. Step 2: Convert to fraction form
    297.58/446.29 = 89.39/x
  3. Step 3: Cross multiply
    297.58x = 446.29 × 89.39
  4. Step 4: Simplify right side
    297.58x = 39,893.86
  5. Step 5: Solve for x
    x = 39,893.86/297.58
  6. Step 6: Final answer
    x = 134.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.