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Finding the Fourth Proportional to 386.60, 578.94 and 362.30

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Solution

The fourth proportional to 386.60, 578.94 and 362.30 is: 542.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.60 : 578.94 = 362.30 : x
  2. Step 2: Convert to fraction form
    386.60/578.94 = 362.30/x
  3. Step 3: Cross multiply
    386.60x = 578.94 × 362.30
  4. Step 4: Simplify right side
    386.60x = 209,749.96
  5. Step 5: Solve for x
    x = 209,749.96/386.60
  6. Step 6: Final answer
    x = 542.55

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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.