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Finding the Fourth Proportional to 339.96, 511.74 and 295.32

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Solution

The fourth proportional to 339.96, 511.74 and 295.32 is: 444.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.96 : 511.74 = 295.32 : x
  2. Step 2: Convert to fraction form
    339.96/511.74 = 295.32/x
  3. Step 3: Cross multiply
    339.96x = 511.74 × 295.32
  4. Step 4: Simplify right side
    339.96x = 151,127.06
  5. Step 5: Solve for x
    x = 151,127.06/339.96
  6. Step 6: Final answer
    x = 444.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.