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Finding the Fourth Proportional to 412.42, 618.63 and 378.09

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Solution

The fourth proportional to 412.42, 618.63 and 378.09 is: 567.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.42 : 618.63 = 378.09 : x
  2. Step 2: Convert to fraction form
    412.42/618.63 = 378.09/x
  3. Step 3: Cross multiply
    412.42x = 618.63 × 378.09
  4. Step 4: Simplify right side
    412.42x = 233,897.82
  5. Step 5: Solve for x
    x = 233,897.82/412.42
  6. Step 6: Final answer
    x = 567.14

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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.