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Finding the Fourth Proportional to 445.76, 615.22 and 259.37

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Solution

The fourth proportional to 445.76, 615.22 and 259.37 is: 357.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.76 : 615.22 = 259.37 : x
  2. Step 2: Convert to fraction form
    445.76/615.22 = 259.37/x
  3. Step 3: Cross multiply
    445.76x = 615.22 × 259.37
  4. Step 4: Simplify right side
    445.76x = 159,569.61
  5. Step 5: Solve for x
    x = 159,569.61/445.76
  6. Step 6: Final answer
    x = 357.97

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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.