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Finding the Fourth Proportional to 548.85, 756.82 and 448.51

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Solution

The fourth proportional to 548.85, 756.82 and 448.51 is: 618.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.85 : 756.82 = 448.51 : x
  2. Step 2: Convert to fraction form
    548.85/756.82 = 448.51/x
  3. Step 3: Cross multiply
    548.85x = 756.82 × 448.51
  4. Step 4: Simplify right side
    548.85x = 339,444.19
  5. Step 5: Solve for x
    x = 339,444.19/548.85
  6. Step 6: Final answer
    x = 618.47

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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.