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Finding the Fourth Proportional to 355.36, 532.33 and 282.36

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Solution

The fourth proportional to 355.36, 532.33 and 282.36 is: 422.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.36 : 532.33 = 282.36 : x
  2. Step 2: Convert to fraction form
    355.36/532.33 = 282.36/x
  3. Step 3: Cross multiply
    355.36x = 532.33 × 282.36
  4. Step 4: Simplify right side
    355.36x = 150,308.70
  5. Step 5: Solve for x
    x = 150,308.70/355.36
  6. Step 6: Final answer
    x = 422.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.