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Finding the Fourth Proportional to 386.57, 579.56 and 309.42

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Solution

The fourth proportional to 386.57, 579.56 and 309.42 is: 463.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.57 : 579.56 = 309.42 : x
  2. Step 2: Convert to fraction form
    386.57/579.56 = 309.42/x
  3. Step 3: Cross multiply
    386.57x = 579.56 × 309.42
  4. Step 4: Simplify right side
    386.57x = 179,325.91
  5. Step 5: Solve for x
    x = 179,325.91/386.57
  6. Step 6: Final answer
    x = 463.89

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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.