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Finding the Fourth Proportional to 548.58, 756.81 and 359.47

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Solution

The fourth proportional to 548.58, 756.81 and 359.47 is: 495.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.58 : 756.81 = 359.47 : x
  2. Step 2: Convert to fraction form
    548.58/756.81 = 359.47/x
  3. Step 3: Cross multiply
    548.58x = 756.81 × 359.47
  4. Step 4: Simplify right side
    548.58x = 272,051.44
  5. Step 5: Solve for x
    x = 272,051.44/548.58
  6. Step 6: Final answer
    x = 495.92

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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.