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Finding the Fourth Proportional to 343.40, 473.94 and 264.83

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Solution

The fourth proportional to 343.40, 473.94 and 264.83 is: 365.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.40 : 473.94 = 264.83 : x
  2. Step 2: Convert to fraction form
    343.40/473.94 = 264.83/x
  3. Step 3: Cross multiply
    343.40x = 473.94 × 264.83
  4. Step 4: Simplify right side
    343.40x = 125,511.16
  5. Step 5: Solve for x
    x = 125,511.16/343.40
  6. Step 6: Final answer
    x = 365.50

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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.