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Finding the Fourth Proportional to 446.55, 615.73 and 280.56

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Solution

The fourth proportional to 446.55, 615.73 and 280.56 is: 386.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.55 : 615.73 = 280.56 : x
  2. Step 2: Convert to fraction form
    446.55/615.73 = 280.56/x
  3. Step 3: Cross multiply
    446.55x = 615.73 × 280.56
  4. Step 4: Simplify right side
    446.55x = 172,749.21
  5. Step 5: Solve for x
    x = 172,749.21/446.55
  6. Step 6: Final answer
    x = 386.85

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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.