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Finding the Fourth Proportional to 548.20, 756.43 and 312.16

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Solution

The fourth proportional to 548.20, 756.43 and 312.16 is: 430.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.20 : 756.43 = 312.16 : x
  2. Step 2: Convert to fraction form
    548.20/756.43 = 312.16/x
  3. Step 3: Cross multiply
    548.20x = 756.43 × 312.16
  4. Step 4: Simplify right side
    548.20x = 236,123.67
  5. Step 5: Solve for x
    x = 236,123.67/548.20
  6. Step 6: Final answer
    x = 430.73

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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.