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Finding the Fourth Proportional to 445.27, 614.65 and 293.83

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Solution

The fourth proportional to 445.27, 614.65 and 293.83 is: 405.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.27 : 614.65 = 293.83 : x
  2. Step 2: Convert to fraction form
    445.27/614.65 = 293.83/x
  3. Step 3: Cross multiply
    445.27x = 614.65 × 293.83
  4. Step 4: Simplify right side
    445.27x = 180,605.45
  5. Step 5: Solve for x
    x = 180,605.45/445.27
  6. Step 6: Final answer
    x = 405.61

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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.