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Finding the Fourth Proportional to 578.70, 798.30 and 382.14

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Solution

The fourth proportional to 578.70, 798.30 and 382.14 is: 527.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.70 : 798.30 = 382.14 : x
  2. Step 2: Convert to fraction form
    578.70/798.30 = 382.14/x
  3. Step 3: Cross multiply
    578.70x = 798.30 × 382.14
  4. Step 4: Simplify right side
    578.70x = 305,062.36
  5. Step 5: Solve for x
    x = 305,062.36/578.70
  6. Step 6: Final answer
    x = 527.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.