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Finding the Fourth Proportional to 445.47, 614.80 and 258.95

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Solution

The fourth proportional to 445.47, 614.80 and 258.95 is: 357.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.47 : 614.80 = 258.95 : x
  2. Step 2: Convert to fraction form
    445.47/614.80 = 258.95/x
  3. Step 3: Cross multiply
    445.47x = 614.80 × 258.95
  4. Step 4: Simplify right side
    445.47x = 159,198.09
  5. Step 5: Solve for x
    x = 159,198.09/445.47
  6. Step 6: Final answer
    x = 357.37

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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.