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Finding the Fourth Proportional to 445.38, 614.82 and 297.78

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Solution

The fourth proportional to 445.38, 614.82 and 297.78 is: 411.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.38 : 614.82 = 297.78 : x
  2. Step 2: Convert to fraction form
    445.38/614.82 = 297.78/x
  3. Step 3: Cross multiply
    445.38x = 614.82 × 297.78
  4. Step 4: Simplify right side
    445.38x = 183,081.10
  5. Step 5: Solve for x
    x = 183,081.10/445.38
  6. Step 6: Final answer
    x = 411.07

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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.