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Finding the Fourth Proportional to 409.14, 612.27 and 382.50

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Solution

The fourth proportional to 409.14, 612.27 and 382.50 is: 572.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.14 : 612.27 = 382.50 : x
  2. Step 2: Convert to fraction form
    409.14/612.27 = 382.50/x
  3. Step 3: Cross multiply
    409.14x = 612.27 × 382.50
  4. Step 4: Simplify right side
    409.14x = 234,193.28
  5. Step 5: Solve for x
    x = 234,193.28/409.14
  6. Step 6: Final answer
    x = 572.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.