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Finding the Fourth Proportional to 355.67, 532.80 and 282.67

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Solution

The fourth proportional to 355.67, 532.80 and 282.67 is: 423.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.67 : 532.80 = 282.67 : x
  2. Step 2: Convert to fraction form
    355.67/532.80 = 282.67/x
  3. Step 3: Cross multiply
    355.67x = 532.80 × 282.67
  4. Step 4: Simplify right side
    355.67x = 150,605.16
  5. Step 5: Solve for x
    x = 150,605.16/355.67
  6. Step 6: Final answer
    x = 423.44

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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.