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Finding the Fourth Proportional to 386.82, 532.17 and 357.45

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Solution

The fourth proportional to 386.82, 532.17 and 357.45 is: 491.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.82 : 532.17 = 357.45 : x
  2. Step 2: Convert to fraction form
    386.82/532.17 = 357.45/x
  3. Step 3: Cross multiply
    386.82x = 532.17 × 357.45
  4. Step 4: Simplify right side
    386.82x = 190,224.17
  5. Step 5: Solve for x
    x = 190,224.17/386.82
  6. Step 6: Final answer
    x = 491.76

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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.