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Finding the Fourth Proportional to 548.98, 757.74 and 313.07

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Solution

The fourth proportional to 548.98, 757.74 and 313.07 is: 432.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.98 : 757.74 = 313.07 : x
  2. Step 2: Convert to fraction form
    548.98/757.74 = 313.07/x
  3. Step 3: Cross multiply
    548.98x = 757.74 × 313.07
  4. Step 4: Simplify right side
    548.98x = 237,225.66
  5. Step 5: Solve for x
    x = 237,225.66/548.98
  6. Step 6: Final answer
    x = 432.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.