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Finding the Fourth Proportional to 409.03, 612.93 and 378.66

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Solution

The fourth proportional to 409.03, 612.93 and 378.66 is: 567.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.03 : 612.93 = 378.66 : x
  2. Step 2: Convert to fraction form
    409.03/612.93 = 378.66/x
  3. Step 3: Cross multiply
    409.03x = 612.93 × 378.66
  4. Step 4: Simplify right side
    409.03x = 232,092.07
  5. Step 5: Solve for x
    x = 232,092.07/409.03
  6. Step 6: Final answer
    x = 567.42

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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.