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Finding the Fourth Proportional to 652.72, 978.80 and 213.84

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Solution

The fourth proportional to 652.72, 978.80 and 213.84 is: 320.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.72 : 978.80 = 213.84 : x
  2. Step 2: Convert to fraction form
    652.72/978.80 = 213.84/x
  3. Step 3: Cross multiply
    652.72x = 978.80 × 213.84
  4. Step 4: Simplify right side
    652.72x = 209,306.59
  5. Step 5: Solve for x
    x = 209,306.59/652.72
  6. Step 6: Final answer
    x = 320.67

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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.