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Finding the Fourth Proportional to 445.15, 614.48 and 293.71

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Solution

The fourth proportional to 445.15, 614.48 and 293.71 is: 405.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.15 : 614.48 = 293.71 : x
  2. Step 2: Convert to fraction form
    445.15/614.48 = 293.71/x
  3. Step 3: Cross multiply
    445.15x = 614.48 × 293.71
  4. Step 4: Simplify right side
    445.15x = 180,478.92
  5. Step 5: Solve for x
    x = 180,478.92/445.15
  6. Step 6: Final answer
    x = 405.44

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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.