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Finding the Fourth Proportional to 550, 823.80 and 457.84

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Solution

The fourth proportional to 550, 823.80 and 457.84 is: 685.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    550 : 823.80 = 457.84 : x
  2. Step 2: Convert to fraction form
    550/823.80 = 457.84/x
  3. Step 3: Cross multiply
    550x = 823.80 × 457.84
  4. Step 4: Simplify right side
    550x = 377,168.59
  5. Step 5: Solve for x
    x = 377,168.59/550
  6. Step 6: Final answer
    x = 685.76

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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.