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Finding the Fourth Proportional to 342.84, 473.31 and 218.58

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Solution

The fourth proportional to 342.84, 473.31 and 218.58 is: 301.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.84 : 473.31 = 218.58 : x
  2. Step 2: Convert to fraction form
    342.84/473.31 = 218.58/x
  3. Step 3: Cross multiply
    342.84x = 473.31 × 218.58
  4. Step 4: Simplify right side
    342.84x = 103,456.10
  5. Step 5: Solve for x
    x = 103,456.10/342.84
  6. Step 6: Final answer
    x = 301.76

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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.