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Finding the Fourth Proportional to 560.33, 839.92 and 213.45

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Solution

The fourth proportional to 560.33, 839.92 and 213.45 is: 319.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.33 : 839.92 = 213.45 : x
  2. Step 2: Convert to fraction form
    560.33/839.92 = 213.45/x
  3. Step 3: Cross multiply
    560.33x = 839.92 × 213.45
  4. Step 4: Simplify right side
    560.33x = 179,280.92
  5. Step 5: Solve for x
    x = 179,280.92/560.33
  6. Step 6: Final answer
    x = 319.96

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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.