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Finding the Fourth Proportional to 562.46, 842.07 and 367.67

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Solution

The fourth proportional to 562.46, 842.07 and 367.67 is: 550.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.46 : 842.07 = 367.67 : x
  2. Step 2: Convert to fraction form
    562.46/842.07 = 367.67/x
  3. Step 3: Cross multiply
    562.46x = 842.07 × 367.67
  4. Step 4: Simplify right side
    562.46x = 309,605.98
  5. Step 5: Solve for x
    x = 309,605.98/562.46
  6. Step 6: Final answer
    x = 550.45

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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.