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Finding the Fourth Proportional to 655.36, 904.42 and 406.82

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Solution

The fourth proportional to 655.36, 904.42 and 406.82 is: 561.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.36 : 904.42 = 406.82 : x
  2. Step 2: Convert to fraction form
    655.36/904.42 = 406.82/x
  3. Step 3: Cross multiply
    655.36x = 904.42 × 406.82
  4. Step 4: Simplify right side
    655.36x = 367,936.14
  5. Step 5: Solve for x
    x = 367,936.14/655.36
  6. Step 6: Final answer
    x = 561.43

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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.