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Finding the Fourth Proportional to 638.94, 960.10 and 365.26

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Solution

The fourth proportional to 638.94, 960.10 and 365.26 is: 548.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.94 : 960.10 = 365.26 : x
  2. Step 2: Convert to fraction form
    638.94/960.10 = 365.26/x
  3. Step 3: Cross multiply
    638.94x = 960.10 × 365.26
  4. Step 4: Simplify right side
    638.94x = 350,686.67
  5. Step 5: Solve for x
    x = 350,686.67/638.94
  6. Step 6: Final answer
    x = 548.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.