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Finding the Fourth Proportional to 363.60, 492.30 and 363.60

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Solution

The fourth proportional to 363.60, 492.30 and 363.60 is: 492.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.60 : 492.30 = 363.60 : x
  2. Step 2: Convert to fraction form
    363.60/492.30 = 363.60/x
  3. Step 3: Cross multiply
    363.60x = 492.30 × 363.60
  4. Step 4: Simplify right side
    363.60x = 179,000.28
  5. Step 5: Solve for x
    x = 179,000.28/363.60
  6. Step 6: Final answer
    x = 492.30

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.