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Finding the Fourth Proportional to 655.64, 904.94 and 422.36

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Solution

The fourth proportional to 655.64, 904.94 and 422.36 is: 582.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.64 : 904.94 = 422.36 : x
  2. Step 2: Convert to fraction form
    655.64/904.94 = 422.36/x
  3. Step 3: Cross multiply
    655.64x = 904.94 × 422.36
  4. Step 4: Simplify right side
    655.64x = 382,203.82
  5. Step 5: Solve for x
    x = 382,203.82/655.64
  6. Step 6: Final answer
    x = 582.95

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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.