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Finding the Fourth Proportional to 645.29, 968.18 and 298.79

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Solution

The fourth proportional to 645.29, 968.18 and 298.79 is: 448.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.29 : 968.18 = 298.79 : x
  2. Step 2: Convert to fraction form
    645.29/968.18 = 298.79/x
  3. Step 3: Cross multiply
    645.29x = 968.18 × 298.79
  4. Step 4: Simplify right side
    645.29x = 289,282.50
  5. Step 5: Solve for x
    x = 289,282.50/645.29
  6. Step 6: Final answer
    x = 448.30

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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.