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Finding the Fourth Proportional to 758.36, 1,046.49 and 422.25

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Solution

The fourth proportional to 758.36, 1,046.49 and 422.25 is: 582.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.36 : 1,046.49 = 422.25 : x
  2. Step 2: Convert to fraction form
    758.36/1,046.49 = 422.25/x
  3. Step 3: Cross multiply
    758.36x = 1,046.49 × 422.25
  4. Step 4: Simplify right side
    758.36x = 441,880.40
  5. Step 5: Solve for x
    x = 441,880.40/758.36
  6. Step 6: Final answer
    x = 582.68

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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.