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Finding the Fourth Proportional to 468.84, 699.92 and 387.84

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Solution

The fourth proportional to 468.84, 699.92 and 387.84 is: 579.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.84 : 699.92 = 387.84 : x
  2. Step 2: Convert to fraction form
    468.84/699.92 = 387.84/x
  3. Step 3: Cross multiply
    468.84x = 699.92 × 387.84
  4. Step 4: Simplify right side
    468.84x = 271,456.97
  5. Step 5: Solve for x
    x = 271,456.97/468.84
  6. Step 6: Final answer
    x = 579.00

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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.