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Finding the Fourth Proportional to 548.14, 756.46 and 315.34

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Solution

The fourth proportional to 548.14, 756.46 and 315.34 is: 435.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.14 : 756.46 = 315.34 : x
  2. Step 2: Convert to fraction form
    548.14/756.46 = 315.34/x
  3. Step 3: Cross multiply
    548.14x = 756.46 × 315.34
  4. Step 4: Simplify right side
    548.14x = 238,542.10
  5. Step 5: Solve for x
    x = 238,542.10/548.14
  6. Step 6: Final answer
    x = 435.18

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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.