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Finding the Fourth Proportional to 492.84, 739.26 and 364.68

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Solution

The fourth proportional to 492.84, 739.26 and 364.68 is: 547.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.84 : 739.26 = 364.68 : x
  2. Step 2: Convert to fraction form
    492.84/739.26 = 364.68/x
  3. Step 3: Cross multiply
    492.84x = 739.26 × 364.68
  4. Step 4: Simplify right side
    492.84x = 269,593.34
  5. Step 5: Solve for x
    x = 269,593.34/492.84
  6. Step 6: Final answer
    x = 547.02

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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.