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Finding the Fourth Proportional to 431.26, 594.75 and 283.84

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Solution

The fourth proportional to 431.26, 594.75 and 283.84 is: 391.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.26 : 594.75 = 283.84 : x
  2. Step 2: Convert to fraction form
    431.26/594.75 = 283.84/x
  3. Step 3: Cross multiply
    431.26x = 594.75 × 283.84
  4. Step 4: Simplify right side
    431.26x = 168,813.84
  5. Step 5: Solve for x
    x = 168,813.84/431.26
  6. Step 6: Final answer
    x = 391.44

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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.