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Finding the Fourth Proportional to 386.48, 578.58 and 338.48

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Solution

The fourth proportional to 386.48, 578.58 and 338.48 is: 506.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.48 : 578.58 = 338.48 : x
  2. Step 2: Convert to fraction form
    386.48/578.58 = 338.48/x
  3. Step 3: Cross multiply
    386.48x = 578.58 × 338.48
  4. Step 4: Simplify right side
    386.48x = 195,837.76
  5. Step 5: Solve for x
    x = 195,837.76/386.48
  6. Step 6: Final answer
    x = 506.72

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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.