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Finding the Fourth Proportional to 677.30, 933.53 and 517.73

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Solution

The fourth proportional to 677.30, 933.53 and 517.73 is: 713.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.30 : 933.53 = 517.73 : x
  2. Step 2: Convert to fraction form
    677.30/933.53 = 517.73/x
  3. Step 3: Cross multiply
    677.30x = 933.53 × 517.73
  4. Step 4: Simplify right side
    677.30x = 483,309.23
  5. Step 5: Solve for x
    x = 483,309.23/677.30
  6. Step 6: Final answer
    x = 713.59

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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.