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Finding the Fourth Proportional to 297.96, 444.66 and 289.32

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Solution

The fourth proportional to 297.96, 444.66 and 289.32 is: 431.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.96 : 444.66 = 289.32 : x
  2. Step 2: Convert to fraction form
    297.96/444.66 = 289.32/x
  3. Step 3: Cross multiply
    297.96x = 444.66 × 289.32
  4. Step 4: Simplify right side
    297.96x = 128,649.03
  5. Step 5: Solve for x
    x = 128,649.03/297.96
  6. Step 6: Final answer
    x = 431.77

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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.