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Finding the Fourth Proportional to 645.37, 967.65 and 298.49

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Solution

The fourth proportional to 645.37, 967.65 and 298.49 is: 447.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.37 : 967.65 = 298.49 : x
  2. Step 2: Convert to fraction form
    645.37/967.65 = 298.49/x
  3. Step 3: Cross multiply
    645.37x = 967.65 × 298.49
  4. Step 4: Simplify right side
    645.37x = 288,827.89
  5. Step 5: Solve for x
    x = 288,827.89/645.37
  6. Step 6: Final answer
    x = 447.54

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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.