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Finding the Fourth Proportional to 561.39, 842.15 and 214.85

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Solution

The fourth proportional to 561.39, 842.15 and 214.85 is: 322.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.39 : 842.15 = 214.85 : x
  2. Step 2: Convert to fraction form
    561.39/842.15 = 214.85/x
  3. Step 3: Cross multiply
    561.39x = 842.15 × 214.85
  4. Step 4: Simplify right side
    561.39x = 180,930.64
  5. Step 5: Solve for x
    x = 180,930.64/561.39
  6. Step 6: Final answer
    x = 322.29

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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.