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Finding the Fourth Proportional to 446.13, 615.45 and 306.40

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Solution

The fourth proportional to 446.13, 615.45 and 306.40 is: 422.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.13 : 615.45 = 306.40 : x
  2. Step 2: Convert to fraction form
    446.13/615.45 = 306.40/x
  3. Step 3: Cross multiply
    446.13x = 615.45 × 306.40
  4. Step 4: Simplify right side
    446.13x = 188,573.88
  5. Step 5: Solve for x
    x = 188,573.88/446.13
  6. Step 6: Final answer
    x = 422.69

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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.