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Finding the Fourth Proportional to 647.92, 894.49 and 449.04

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Solution

The fourth proportional to 647.92, 894.49 and 449.04 is: 619.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.92 : 894.49 = 449.04 : x
  2. Step 2: Convert to fraction form
    647.92/894.49 = 449.04/x
  3. Step 3: Cross multiply
    647.92x = 894.49 × 449.04
  4. Step 4: Simplify right side
    647.92x = 401,661.79
  5. Step 5: Solve for x
    x = 401,661.79/647.92
  6. Step 6: Final answer
    x = 619.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.