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Finding the Fourth Proportional to 427.04, 588.84 and 343.88

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Solution

The fourth proportional to 427.04, 588.84 and 343.88 is: 474.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.04 : 588.84 = 343.88 : x
  2. Step 2: Convert to fraction form
    427.04/588.84 = 343.88/x
  3. Step 3: Cross multiply
    427.04x = 588.84 × 343.88
  4. Step 4: Simplify right side
    427.04x = 202,490.30
  5. Step 5: Solve for x
    x = 202,490.30/427.04
  6. Step 6: Final answer
    x = 474.17

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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.