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Finding the Fourth Proportional to 393.88, 591.01 and 188.52

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Solution

The fourth proportional to 393.88, 591.01 and 188.52 is: 282.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.88 : 591.01 = 188.52 : x
  2. Step 2: Convert to fraction form
    393.88/591.01 = 188.52/x
  3. Step 3: Cross multiply
    393.88x = 591.01 × 188.52
  4. Step 4: Simplify right side
    393.88x = 111,417.21
  5. Step 5: Solve for x
    x = 111,417.21/393.88
  6. Step 6: Final answer
    x = 282.87

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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.