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Finding the Fourth Proportional to 548.58, 756.36 and 438.42

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Solution

The fourth proportional to 548.58, 756.36 and 438.42 is: 604.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.58 : 756.36 = 438.42 : x
  2. Step 2: Convert to fraction form
    548.58/756.36 = 438.42/x
  3. Step 3: Cross multiply
    548.58x = 756.36 × 438.42
  4. Step 4: Simplify right side
    548.58x = 331,603.35
  5. Step 5: Solve for x
    x = 331,603.35/548.58
  6. Step 6: Final answer
    x = 604.48

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