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Finding the Fourth Proportional to 655.09, 903.67 and 406.42

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Solution

The fourth proportional to 655.09, 903.67 and 406.42 is: 560.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.09 : 903.67 = 406.42 : x
  2. Step 2: Convert to fraction form
    655.09/903.67 = 406.42/x
  3. Step 3: Cross multiply
    655.09x = 903.67 × 406.42
  4. Step 4: Simplify right side
    655.09x = 367,269.56
  5. Step 5: Solve for x
    x = 367,269.56/655.09
  6. Step 6: Final answer
    x = 560.64

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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.