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Finding the Fourth Proportional to 550, 823.11 and 376.45

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Solution

The fourth proportional to 550, 823.11 and 376.45 is: 563.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    550 : 823.11 = 376.45 : x
  2. Step 2: Convert to fraction form
    550/823.11 = 376.45/x
  3. Step 3: Cross multiply
    550x = 823.11 × 376.45
  4. Step 4: Simplify right side
    550x = 309,859.76
  5. Step 5: Solve for x
    x = 309,859.76/550
  6. Step 6: Final answer
    x = 563.38

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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.