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Finding the Fourth Proportional to 819.52, 1,228.40 and 386.40

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Solution

The fourth proportional to 819.52, 1,228.40 and 386.40 is: 579.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.52 : 1,228.40 = 386.40 : x
  2. Step 2: Convert to fraction form
    819.52/1,228.40 = 386.40/x
  3. Step 3: Cross multiply
    819.52x = 1,228.40 × 386.40
  4. Step 4: Simplify right side
    819.52x = 474,653.76
  5. Step 5: Solve for x
    x = 474,653.76/819.52
  6. Step 6: Final answer
    x = 579.19

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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.