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Finding the Fourth Proportional to 573.84, 789.96 and 499.32

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Solution

The fourth proportional to 573.84, 789.96 and 499.32 is: 687.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.84 : 789.96 = 499.32 : x
  2. Step 2: Convert to fraction form
    573.84/789.96 = 499.32/x
  3. Step 3: Cross multiply
    573.84x = 789.96 × 499.32
  4. Step 4: Simplify right side
    573.84x = 394,442.83
  5. Step 5: Solve for x
    x = 394,442.83/573.84
  6. Step 6: Final answer
    x = 687.37

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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.