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Finding the Fourth Proportional to 496.32, 684 and 340.80

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Solution

The fourth proportional to 496.32, 684 and 340.80 is: 469.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.32 : 684 = 340.80 : x
  2. Step 2: Convert to fraction form
    496.32/684 = 340.80/x
  3. Step 3: Cross multiply
    496.32x = 684 × 340.80
  4. Step 4: Simplify right side
    496.32x = 233,107.20
  5. Step 5: Solve for x
    x = 233,107.20/496.32
  6. Step 6: Final answer
    x = 469.67

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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.