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Finding the Fourth Proportional to 579.71, 798.84 and 492.23

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Solution

The fourth proportional to 579.71, 798.84 and 492.23 is: 678.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.71 : 798.84 = 492.23 : x
  2. Step 2: Convert to fraction form
    579.71/798.84 = 492.23/x
  3. Step 3: Cross multiply
    579.71x = 798.84 × 492.23
  4. Step 4: Simplify right side
    579.71x = 393,213.01
  5. Step 5: Solve for x
    x = 393,213.01/579.71
  6. Step 6: Final answer
    x = 678.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.