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Finding the Fourth Proportional to 548.94, 758.40 and 466.92

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Solution

The fourth proportional to 548.94, 758.40 and 466.92 is: 645.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.94 : 758.40 = 466.92 : x
  2. Step 2: Convert to fraction form
    548.94/758.40 = 466.92/x
  3. Step 3: Cross multiply
    548.94x = 758.40 × 466.92
  4. Step 4: Simplify right side
    548.94x = 354,112.13
  5. Step 5: Solve for x
    x = 354,112.13/548.94
  6. Step 6: Final answer
    x = 645.08

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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.