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Finding the Fourth Proportional to 360.10, 497.37 and 338.50

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Solution

The fourth proportional to 360.10, 497.37 and 338.50 is: 467.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.10 : 497.37 = 338.50 : x
  2. Step 2: Convert to fraction form
    360.10/497.37 = 338.50/x
  3. Step 3: Cross multiply
    360.10x = 497.37 × 338.50
  4. Step 4: Simplify right side
    360.10x = 168,359.75
  5. Step 5: Solve for x
    x = 168,359.75/360.10
  6. Step 6: Final answer
    x = 467.54

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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.