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Finding the Fourth Proportional to 645.71, 968.02 and 299.29

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Solution

The fourth proportional to 645.71, 968.02 and 299.29 is: 448.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.71 : 968.02 = 299.29 : x
  2. Step 2: Convert to fraction form
    645.71/968.02 = 299.29/x
  3. Step 3: Cross multiply
    645.71x = 968.02 × 299.29
  4. Step 4: Simplify right side
    645.71x = 289,717.93
  5. Step 5: Solve for x
    x = 289,717.93/645.71
  6. Step 6: Final answer
    x = 448.68

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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.