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Finding the Fourth Proportional to 655.78, 905.27 and 407.44

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Solution

The fourth proportional to 655.78, 905.27 and 407.44 is: 562.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.78 : 905.27 = 407.44 : x
  2. Step 2: Convert to fraction form
    655.78/905.27 = 407.44/x
  3. Step 3: Cross multiply
    655.78x = 905.27 × 407.44
  4. Step 4: Simplify right side
    655.78x = 368,843.21
  5. Step 5: Solve for x
    x = 368,843.21/655.78
  6. Step 6: Final answer
    x = 562.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.