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Finding the Fourth Proportional to 645.98, 968.19 and 298.84

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Solution

The fourth proportional to 645.98, 968.19 and 298.84 is: 447.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.98 : 968.19 = 298.84 : x
  2. Step 2: Convert to fraction form
    645.98/968.19 = 298.84/x
  3. Step 3: Cross multiply
    645.98x = 968.19 × 298.84
  4. Step 4: Simplify right side
    645.98x = 289,333.90
  5. Step 5: Solve for x
    x = 289,333.90/645.98
  6. Step 6: Final answer
    x = 447.90

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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.