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Finding the Fourth Proportional to 446.42, 615.56 and 280.43

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Solution

The fourth proportional to 446.42, 615.56 and 280.43 is: 386.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.42 : 615.56 = 280.43 : x
  2. Step 2: Convert to fraction form
    446.42/615.56 = 280.43/x
  3. Step 3: Cross multiply
    446.42x = 615.56 × 280.43
  4. Step 4: Simplify right side
    446.42x = 172,621.49
  5. Step 5: Solve for x
    x = 172,621.49/446.42
  6. Step 6: Final answer
    x = 386.68

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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.