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Finding the Fourth Proportional to 548.92, 758.46 and 433.36

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Solution

The fourth proportional to 548.92, 758.46 and 433.36 is: 598.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.92 : 758.46 = 433.36 : x
  2. Step 2: Convert to fraction form
    548.92/758.46 = 433.36/x
  3. Step 3: Cross multiply
    548.92x = 758.46 × 433.36
  4. Step 4: Simplify right side
    548.92x = 328,686.23
  5. Step 5: Solve for x
    x = 328,686.23/548.92
  6. Step 6: Final answer
    x = 598.79

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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.