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Finding the Fourth Proportional to 343.00, 472.29 and 293.77

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Solution

The fourth proportional to 343.00, 472.29 and 293.77 is: 404.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.00 : 472.29 = 293.77 : x
  2. Step 2: Convert to fraction form
    343.00/472.29 = 293.77/x
  3. Step 3: Cross multiply
    343.00x = 472.29 × 293.77
  4. Step 4: Simplify right side
    343.00x = 138,742.27
  5. Step 5: Solve for x
    x = 138,742.27/343.00
  6. Step 6: Final answer
    x = 404.50

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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.