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Finding the Fourth Proportional to 445.78, 615.16 and 259.26

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Solution

The fourth proportional to 445.78, 615.16 and 259.26 is: 357.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.78 : 615.16 = 259.26 : x
  2. Step 2: Convert to fraction form
    445.78/615.16 = 259.26/x
  3. Step 3: Cross multiply
    445.78x = 615.16 × 259.26
  4. Step 4: Simplify right side
    445.78x = 159,489.27
  5. Step 5: Solve for x
    x = 159,489.27/445.78
  6. Step 6: Final answer
    x = 357.77

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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.