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Finding the Fourth Proportional to 343.02, 472.97 and 259.96

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Solution

The fourth proportional to 343.02, 472.97 and 259.96 is: 358.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.02 : 472.97 = 259.96 : x
  2. Step 2: Convert to fraction form
    343.02/472.97 = 259.96/x
  3. Step 3: Cross multiply
    343.02x = 472.97 × 259.96
  4. Step 4: Simplify right side
    343.02x = 122,953.28
  5. Step 5: Solve for x
    x = 122,953.28/343.02
  6. Step 6: Final answer
    x = 358.44

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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.