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Finding the Fourth Proportional to 393.68, 544.70 and 357.23

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Solution

The fourth proportional to 393.68, 544.70 and 357.23 is: 494.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.68 : 544.70 = 357.23 : x
  2. Step 2: Convert to fraction form
    393.68/544.70 = 357.23/x
  3. Step 3: Cross multiply
    393.68x = 544.70 × 357.23
  4. Step 4: Simplify right side
    393.68x = 194,585.44
  5. Step 5: Solve for x
    x = 194,585.44/393.68
  6. Step 6: Final answer
    x = 494.27

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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.