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Finding the Fourth Proportional to 492.93, 739.58 and 236.25

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Solution

The fourth proportional to 492.93, 739.58 and 236.25 is: 354.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.93 : 739.58 = 236.25 : x
  2. Step 2: Convert to fraction form
    492.93/739.58 = 236.25/x
  3. Step 3: Cross multiply
    492.93x = 739.58 × 236.25
  4. Step 4: Simplify right side
    492.93x = 174,724.59
  5. Step 5: Solve for x
    x = 174,724.59/492.93
  6. Step 6: Final answer
    x = 354.46

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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.