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Finding the Fourth Proportional to 562.57, 842.26 and 367.79

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Solution

The fourth proportional to 562.57, 842.26 and 367.79 is: 550.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.57 : 842.26 = 367.79 : x
  2. Step 2: Convert to fraction form
    562.57/842.26 = 367.79/x
  3. Step 3: Cross multiply
    562.57x = 842.26 × 367.79
  4. Step 4: Simplify right side
    562.57x = 309,774.81
  5. Step 5: Solve for x
    x = 309,774.81/562.57
  6. Step 6: Final answer
    x = 550.64

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