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Finding the Fourth Proportional to 342.91, 473.26 and 264.09

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Solution

The fourth proportional to 342.91, 473.26 and 264.09 is: 364.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.91 : 473.26 = 264.09 : x
  2. Step 2: Convert to fraction form
    342.91/473.26 = 264.09/x
  3. Step 3: Cross multiply
    342.91x = 473.26 × 264.09
  4. Step 4: Simplify right side
    342.91x = 124,983.23
  5. Step 5: Solve for x
    x = 124,983.23/342.91
  6. Step 6: Final answer
    x = 364.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.