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Finding the Fourth Proportional to 652.23, 978.37 and 213.48

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Solution

The fourth proportional to 652.23, 978.37 and 213.48 is: 320.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.23 : 978.37 = 213.48 : x
  2. Step 2: Convert to fraction form
    652.23/978.37 = 213.48/x
  3. Step 3: Cross multiply
    652.23x = 978.37 × 213.48
  4. Step 4: Simplify right side
    652.23x = 208,861.89
  5. Step 5: Solve for x
    x = 208,861.89/652.23
  6. Step 6: Final answer
    x = 320.23

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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.