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Finding the Fourth Proportional to 445.22, 614.48 and 258.68

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Solution

The fourth proportional to 445.22, 614.48 and 258.68 is: 357.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.22 : 614.48 = 258.68 : x
  2. Step 2: Convert to fraction form
    445.22/614.48 = 258.68/x
  3. Step 3: Cross multiply
    445.22x = 614.48 × 258.68
  4. Step 4: Simplify right side
    445.22x = 158,953.69
  5. Step 5: Solve for x
    x = 158,953.69/445.22
  6. Step 6: Final answer
    x = 357.02

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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.