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Finding the Fourth Proportional to 645.87, 968.97 and 298.92

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Solution

The fourth proportional to 645.87, 968.97 and 298.92 is: 448.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.87 : 968.97 = 298.92 : x
  2. Step 2: Convert to fraction form
    645.87/968.97 = 298.92/x
  3. Step 3: Cross multiply
    645.87x = 968.97 × 298.92
  4. Step 4: Simplify right side
    645.87x = 289,644.51
  5. Step 5: Solve for x
    x = 289,644.51/645.87
  6. Step 6: Final answer
    x = 448.46

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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.