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Finding the Fourth Proportional to 340.35, 468.84 and 270.64

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Solution

The fourth proportional to 340.35, 468.84 and 270.64 is: 372.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.35 : 468.84 = 270.64 : x
  2. Step 2: Convert to fraction form
    340.35/468.84 = 270.64/x
  3. Step 3: Cross multiply
    340.35x = 468.84 × 270.64
  4. Step 4: Simplify right side
    340.35x = 126,886.94
  5. Step 5: Solve for x
    x = 126,886.94/340.35
  6. Step 6: Final answer
    x = 372.81

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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.