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Finding the Fourth Proportional to 378.09, 568.20 and 368.88

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Solution

The fourth proportional to 378.09, 568.20 and 368.88 is: 554.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.09 : 568.20 = 368.88 : x
  2. Step 2: Convert to fraction form
    378.09/568.20 = 368.88/x
  3. Step 3: Cross multiply
    378.09x = 568.20 × 368.88
  4. Step 4: Simplify right side
    378.09x = 209,597.62
  5. Step 5: Solve for x
    x = 209,597.62/378.09
  6. Step 6: Final answer
    x = 554.36

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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.