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Finding the Fourth Proportional to 394.60, 588.53 and 351.40

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Solution

The fourth proportional to 394.60, 588.53 and 351.40 is: 524.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.60 : 588.53 = 351.40 : x
  2. Step 2: Convert to fraction form
    394.60/588.53 = 351.40/x
  3. Step 3: Cross multiply
    394.60x = 588.53 × 351.40
  4. Step 4: Simplify right side
    394.60x = 206,809.44
  5. Step 5: Solve for x
    x = 206,809.44/394.60
  6. Step 6: Final answer
    x = 524.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.