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Finding the Fourth Proportional to 445.35, 614.22 and 297.75

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Solution

The fourth proportional to 445.35, 614.22 and 297.75 is: 410.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.35 : 614.22 = 297.75 : x
  2. Step 2: Convert to fraction form
    445.35/614.22 = 297.75/x
  3. Step 3: Cross multiply
    445.35x = 614.22 × 297.75
  4. Step 4: Simplify right side
    445.35x = 182,884.01
  5. Step 5: Solve for x
    x = 182,884.01/445.35
  6. Step 6: Final answer
    x = 410.65

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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.