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Finding the Fourth Proportional to 445.77, 615.33 and 288.43

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Solution

The fourth proportional to 445.77, 615.33 and 288.43 is: 398.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.77 : 615.33 = 288.43 : x
  2. Step 2: Convert to fraction form
    445.77/615.33 = 288.43/x
  3. Step 3: Cross multiply
    445.77x = 615.33 × 288.43
  4. Step 4: Simplify right side
    445.77x = 177,478.09
  5. Step 5: Solve for x
    x = 177,478.09/445.77
  6. Step 6: Final answer
    x = 398.14

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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.