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Finding the Fourth Proportional to 645.18, 889.92 and 448.44

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Solution

The fourth proportional to 645.18, 889.92 and 448.44 is: 618.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.18 : 889.92 = 448.44 : x
  2. Step 2: Convert to fraction form
    645.18/889.92 = 448.44/x
  3. Step 3: Cross multiply
    645.18x = 889.92 × 448.44
  4. Step 4: Simplify right side
    645.18x = 399,075.72
  5. Step 5: Solve for x
    x = 399,075.72/645.18
  6. Step 6: Final answer
    x = 618.55

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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.