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Finding the Fourth Proportional to 446.28, 615.12 and 306.16

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Solution

The fourth proportional to 446.28, 615.12 and 306.16 is: 421.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.28 : 615.12 = 306.16 : x
  2. Step 2: Convert to fraction form
    446.28/615.12 = 306.16/x
  3. Step 3: Cross multiply
    446.28x = 615.12 × 306.16
  4. Step 4: Simplify right side
    446.28x = 188,325.14
  5. Step 5: Solve for x
    x = 188,325.14/446.28
  6. Step 6: Final answer
    x = 421.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.