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Finding the Fourth Proportional to 445.73, 614.99 and 259.18

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Solution

The fourth proportional to 445.73, 614.99 and 259.18 is: 357.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.73 : 614.99 = 259.18 : x
  2. Step 2: Convert to fraction form
    445.73/614.99 = 259.18/x
  3. Step 3: Cross multiply
    445.73x = 614.99 × 259.18
  4. Step 4: Simplify right side
    445.73x = 159,392.22
  5. Step 5: Solve for x
    x = 159,392.22/445.73
  6. Step 6: Final answer
    x = 357.60

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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.