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Finding the Fourth Proportional to 378.46, 521.80 and 353.35

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Solution

The fourth proportional to 378.46, 521.80 and 353.35 is: 487.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.46 : 521.80 = 353.35 : x
  2. Step 2: Convert to fraction form
    378.46/521.80 = 353.35/x
  3. Step 3: Cross multiply
    378.46x = 521.80 × 353.35
  4. Step 4: Simplify right side
    378.46x = 184,378.03
  5. Step 5: Solve for x
    x = 184,378.03/378.46
  6. Step 6: Final answer
    x = 487.18

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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.