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Finding the Fourth Proportional to 652.13, 978.27 and 213.24

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Solution

The fourth proportional to 652.13, 978.27 and 213.24 is: 319.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.13 : 978.27 = 213.24 : x
  2. Step 2: Convert to fraction form
    652.13/978.27 = 213.24/x
  3. Step 3: Cross multiply
    652.13x = 978.27 × 213.24
  4. Step 4: Simplify right side
    652.13x = 208,606.29
  5. Step 5: Solve for x
    x = 208,606.29/652.13
  6. Step 6: Final answer
    x = 319.88

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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.