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Finding the Fourth Proportional to 550.98, 760.02 and 354.16

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Solution

The fourth proportional to 550.98, 760.02 and 354.16 is: 488.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.98 : 760.02 = 354.16 : x
  2. Step 2: Convert to fraction form
    550.98/760.02 = 354.16/x
  3. Step 3: Cross multiply
    550.98x = 760.02 × 354.16
  4. Step 4: Simplify right side
    550.98x = 269,168.68
  5. Step 5: Solve for x
    x = 269,168.68/550.98
  6. Step 6: Final answer
    x = 488.53

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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.