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Finding the Fourth Proportional to 505.35, 697.44 and 422.31

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Solution

The fourth proportional to 505.35, 697.44 and 422.31 is: 582.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.35 : 697.44 = 422.31 : x
  2. Step 2: Convert to fraction form
    505.35/697.44 = 422.31/x
  3. Step 3: Cross multiply
    505.35x = 697.44 × 422.31
  4. Step 4: Simplify right side
    505.35x = 294,535.89
  5. Step 5: Solve for x
    x = 294,535.89/505.35
  6. Step 6: Final answer
    x = 582.84

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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.