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Finding the Fourth Proportional to 378.40, 568.02 and 370.60

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Solution

The fourth proportional to 378.40, 568.02 and 370.60 is: 556.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.40 : 568.02 = 370.60 : x
  2. Step 2: Convert to fraction form
    378.40/568.02 = 370.60/x
  3. Step 3: Cross multiply
    378.40x = 568.02 × 370.60
  4. Step 4: Simplify right side
    378.40x = 210,508.21
  5. Step 5: Solve for x
    x = 210,508.21/378.40
  6. Step 6: Final answer
    x = 556.31

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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.