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Finding the Fourth Proportional to 647.71, 894.04 and 440.83

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Solution

The fourth proportional to 647.71, 894.04 and 440.83 is: 608.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.71 : 894.04 = 440.83 : x
  2. Step 2: Convert to fraction form
    647.71/894.04 = 440.83/x
  3. Step 3: Cross multiply
    647.71x = 894.04 × 440.83
  4. Step 4: Simplify right side
    647.71x = 394,119.65
  5. Step 5: Solve for x
    x = 394,119.65/647.71
  6. Step 6: Final answer
    x = 608.48

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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.