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Finding the Fourth Proportional to 645.66, 968.79 and 298.80

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Solution

The fourth proportional to 645.66, 968.79 and 298.80 is: 448.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.66 : 968.79 = 298.80 : x
  2. Step 2: Convert to fraction form
    645.66/968.79 = 298.80/x
  3. Step 3: Cross multiply
    645.66x = 968.79 × 298.80
  4. Step 4: Simplify right side
    645.66x = 289,474.45
  5. Step 5: Solve for x
    x = 289,474.45/645.66
  6. Step 6: Final answer
    x = 448.34

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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.