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Finding the Fourth Proportional to 386.37, 579.96 and 384.75

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Solution

The fourth proportional to 386.37, 579.96 and 384.75 is: 577.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.37 : 579.96 = 384.75 : x
  2. Step 2: Convert to fraction form
    386.37/579.96 = 384.75/x
  3. Step 3: Cross multiply
    386.37x = 579.96 × 384.75
  4. Step 4: Simplify right side
    386.37x = 223,139.61
  5. Step 5: Solve for x
    x = 223,139.61/386.37
  6. Step 6: Final answer
    x = 577.53

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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.