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Finding the Fourth Proportional to 445.75, 615.27 and 259.28

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Solution

The fourth proportional to 445.75, 615.27 and 259.28 is: 357.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.75 : 615.27 = 259.28 : x
  2. Step 2: Convert to fraction form
    445.75/615.27 = 259.28/x
  3. Step 3: Cross multiply
    445.75x = 615.27 × 259.28
  4. Step 4: Simplify right side
    445.75x = 159,527.21
  5. Step 5: Solve for x
    x = 159,527.21/445.75
  6. Step 6: Final answer
    x = 357.88

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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.