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Finding the Fourth Proportional to 548.66, 757.13 and 315.86

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Solution

The fourth proportional to 548.66, 757.13 and 315.86 is: 435.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.66 : 757.13 = 315.86 : x
  2. Step 2: Convert to fraction form
    548.66/757.13 = 315.86/x
  3. Step 3: Cross multiply
    548.66x = 757.13 × 315.86
  4. Step 4: Simplify right side
    548.66x = 239,147.08
  5. Step 5: Solve for x
    x = 239,147.08/548.66
  6. Step 6: Final answer
    x = 435.87

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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.