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Finding the Fourth Proportional to 655.03, 903.56 and 422.16

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Solution

The fourth proportional to 655.03, 903.56 and 422.16 is: 582.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.03 : 903.56 = 422.16 : x
  2. Step 2: Convert to fraction form
    655.03/903.56 = 422.16/x
  3. Step 3: Cross multiply
    655.03x = 903.56 × 422.16
  4. Step 4: Simplify right side
    655.03x = 381,442.37
  5. Step 5: Solve for x
    x = 381,442.37/655.03
  6. Step 6: Final answer
    x = 582.33

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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.