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Finding the Fourth Proportional to 378.91, 570.46 and 346.62

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Solution

The fourth proportional to 378.91, 570.46 and 346.62 is: 521.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.91 : 570.46 = 346.62 : x
  2. Step 2: Convert to fraction form
    378.91/570.46 = 346.62/x
  3. Step 3: Cross multiply
    378.91x = 570.46 × 346.62
  4. Step 4: Simplify right side
    378.91x = 197,732.85
  5. Step 5: Solve for x
    x = 197,732.85/378.91
  6. Step 6: Final answer
    x = 521.85

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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.