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Finding the Fourth Proportional to 446.30, 615.74 and 380.14

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Solution

The fourth proportional to 446.30, 615.74 and 380.14 is: 524.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.30 : 615.74 = 380.14 : x
  2. Step 2: Convert to fraction form
    446.30/615.74 = 380.14/x
  3. Step 3: Cross multiply
    446.30x = 615.74 × 380.14
  4. Step 4: Simplify right side
    446.30x = 234,067.40
  5. Step 5: Solve for x
    x = 234,067.40/446.30
  6. Step 6: Final answer
    x = 524.46

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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.