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Finding the Fourth Proportional to 343, 472.24 and 293.12

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Solution

The fourth proportional to 343, 472.24 and 293.12 is: 403.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    343 : 472.24 = 293.12 : x
  2. Step 2: Convert to fraction form
    343/472.24 = 293.12/x
  3. Step 3: Cross multiply
    343x = 472.24 × 293.12
  4. Step 4: Simplify right side
    343x = 138,422.99
  5. Step 5: Solve for x
    x = 138,422.99/343
  6. Step 6: Final answer
    x = 403.57

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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.