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Finding the Fourth Proportional to 421.32, 630.72 and 382.80

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Solution

The fourth proportional to 421.32, 630.72 and 382.80 is: 573.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.32 : 630.72 = 382.80 : x
  2. Step 2: Convert to fraction form
    421.32/630.72 = 382.80/x
  3. Step 3: Cross multiply
    421.32x = 630.72 × 382.80
  4. Step 4: Simplify right side
    421.32x = 241,439.62
  5. Step 5: Solve for x
    x = 241,439.62/421.32
  6. Step 6: Final answer
    x = 573.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.