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Finding the Fourth Proportional to 340.96, 513.25 and 296.32

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Solution

The fourth proportional to 340.96, 513.25 and 296.32 is: 446.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.96 : 513.25 = 296.32 : x
  2. Step 2: Convert to fraction form
    340.96/513.25 = 296.32/x
  3. Step 3: Cross multiply
    340.96x = 513.25 × 296.32
  4. Step 4: Simplify right side
    340.96x = 152,086.24
  5. Step 5: Solve for x
    x = 152,086.24/340.96
  6. Step 6: Final answer
    x = 446.05

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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.