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Finding the Fourth Proportional to 347.97, 521.34 and 304.23

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Solution

The fourth proportional to 347.97, 521.34 and 304.23 is: 455.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.97 : 521.34 = 304.23 : x
  2. Step 2: Convert to fraction form
    347.97/521.34 = 304.23/x
  3. Step 3: Cross multiply
    347.97x = 521.34 × 304.23
  4. Step 4: Simplify right side
    347.97x = 158,607.27
  5. Step 5: Solve for x
    x = 158,607.27/347.97
  6. Step 6: Final answer
    x = 455.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.