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Finding the Fourth Proportional to 386.82, 577.62 and 384.54

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Solution

The fourth proportional to 386.82, 577.62 and 384.54 is: 574.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.82 : 577.62 = 384.54 : x
  2. Step 2: Convert to fraction form
    386.82/577.62 = 384.54/x
  3. Step 3: Cross multiply
    386.82x = 577.62 × 384.54
  4. Step 4: Simplify right side
    386.82x = 222,117.99
  5. Step 5: Solve for x
    x = 222,117.99/386.82
  6. Step 6: Final answer
    x = 574.22

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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.