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Finding the Fourth Proportional to 445.38, 614.54 and 258.78

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Solution

The fourth proportional to 445.38, 614.54 and 258.78 is: 357.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.38 : 614.54 = 258.78 : x
  2. Step 2: Convert to fraction form
    445.38/614.54 = 258.78/x
  3. Step 3: Cross multiply
    445.38x = 614.54 × 258.78
  4. Step 4: Simplify right side
    445.38x = 159,029.37
  5. Step 5: Solve for x
    x = 159,029.37/445.38
  6. Step 6: Final answer
    x = 357.06

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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.