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Finding the Fourth Proportional to 293.03, 406.24 and 277.43

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Solution

The fourth proportional to 293.03, 406.24 and 277.43 is: 384.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.03 : 406.24 = 277.43 : x
  2. Step 2: Convert to fraction form
    293.03/406.24 = 277.43/x
  3. Step 3: Cross multiply
    293.03x = 406.24 × 277.43
  4. Step 4: Simplify right side
    293.03x = 112,701.45
  5. Step 5: Solve for x
    x = 112,701.45/293.03
  6. Step 6: Final answer
    x = 384.60

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.