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Finding the Fourth Proportional to 445.96, 615.54 and 280.12

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Solution

The fourth proportional to 445.96, 615.54 and 280.12 is: 386.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.96 : 615.54 = 280.12 : x
  2. Step 2: Convert to fraction form
    445.96/615.54 = 280.12/x
  3. Step 3: Cross multiply
    445.96x = 615.54 × 280.12
  4. Step 4: Simplify right side
    445.96x = 172,425.06
  5. Step 5: Solve for x
    x = 172,425.06/445.96
  6. Step 6: Final answer
    x = 386.64

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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.