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Finding the Fourth Proportional to 445.94, 615.69 and 280.40

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Solution

The fourth proportional to 445.94, 615.69 and 280.40 is: 387.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.94 : 615.69 = 280.40 : x
  2. Step 2: Convert to fraction form
    445.94/615.69 = 280.40/x
  3. Step 3: Cross multiply
    445.94x = 615.69 × 280.40
  4. Step 4: Simplify right side
    445.94x = 172,638.07
  5. Step 5: Solve for x
    x = 172,638.07/445.94
  6. Step 6: Final answer
    x = 387.14

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