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Finding the Fourth Proportional to 360.67, 496.72 and 342.13

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Solution

The fourth proportional to 360.67, 496.72 and 342.13 is: 471.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.67 : 496.72 = 342.13 : x
  2. Step 2: Convert to fraction form
    360.67/496.72 = 342.13/x
  3. Step 3: Cross multiply
    360.67x = 496.72 × 342.13
  4. Step 4: Simplify right side
    360.67x = 169,942.81
  5. Step 5: Solve for x
    x = 169,942.81/360.67
  6. Step 6: Final answer
    x = 471.19

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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.