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Finding the Fourth Proportional to 357.27, 492.30 and 263.87

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Solution

The fourth proportional to 357.27, 492.30 and 263.87 is: 363.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.27 : 492.30 = 263.87 : x
  2. Step 2: Convert to fraction form
    357.27/492.30 = 263.87/x
  3. Step 3: Cross multiply
    357.27x = 492.30 × 263.87
  4. Step 4: Simplify right side
    357.27x = 129,903.20
  5. Step 5: Solve for x
    x = 129,903.20/357.27
  6. Step 6: Final answer
    x = 363.60

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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.