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Finding the Fourth Proportional to 412.40, 618.60 and 378.65

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Solution

The fourth proportional to 412.40, 618.60 and 378.65 is: 567.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.40 : 618.60 = 378.65 : x
  2. Step 2: Convert to fraction form
    412.40/618.60 = 378.65/x
  3. Step 3: Cross multiply
    412.40x = 618.60 × 378.65
  4. Step 4: Simplify right side
    412.40x = 234,232.89
  5. Step 5: Solve for x
    x = 234,232.89/412.40
  6. Step 6: Final answer
    x = 567.98

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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.