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Finding the Fourth Proportional to 529.94, 789.43 and 496.30

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Solution

The fourth proportional to 529.94, 789.43 and 496.30 is: 739.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.94 : 789.43 = 496.30 : x
  2. Step 2: Convert to fraction form
    529.94/789.43 = 496.30/x
  3. Step 3: Cross multiply
    529.94x = 789.43 × 496.30
  4. Step 4: Simplify right side
    529.94x = 391,790.16
  5. Step 5: Solve for x
    x = 391,790.16/529.94
  6. Step 6: Final answer
    x = 739.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.