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Finding the Fourth Proportional to 445.73, 615.01 and 259.21

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Solution

The fourth proportional to 445.73, 615.01 and 259.21 is: 357.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.73 : 615.01 = 259.21 : x
  2. Step 2: Convert to fraction form
    445.73/615.01 = 259.21/x
  3. Step 3: Cross multiply
    445.73x = 615.01 × 259.21
  4. Step 4: Simplify right side
    445.73x = 159,416.74
  5. Step 5: Solve for x
    x = 159,416.74/445.73
  6. Step 6: Final answer
    x = 357.65

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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.