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Finding the Fourth Proportional to 549.60, 825.60 and 492.48

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Solution

The fourth proportional to 549.60, 825.60 and 492.48 is: 739.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.60 : 825.60 = 492.48 : x
  2. Step 2: Convert to fraction form
    549.60/825.60 = 492.48/x
  3. Step 3: Cross multiply
    549.60x = 825.60 × 492.48
  4. Step 4: Simplify right side
    549.60x = 406,591.49
  5. Step 5: Solve for x
    x = 406,591.49/549.60
  6. Step 6: Final answer
    x = 739.80

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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.