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Finding the Fourth Proportional to 343.14, 473.41 and 264.48

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Solution

The fourth proportional to 343.14, 473.41 and 264.48 is: 364.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.14 : 473.41 = 264.48 : x
  2. Step 2: Convert to fraction form
    343.14/473.41 = 264.48/x
  3. Step 3: Cross multiply
    343.14x = 473.41 × 264.48
  4. Step 4: Simplify right side
    343.14x = 125,207.48
  5. Step 5: Solve for x
    x = 125,207.48/343.14
  6. Step 6: Final answer
    x = 364.89

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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.