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Finding the Fourth Proportional to 525.76, 788.76 and 213.44

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Solution

The fourth proportional to 525.76, 788.76 and 213.44 is: 320.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.76 : 788.76 = 213.44 : x
  2. Step 2: Convert to fraction form
    525.76/788.76 = 213.44/x
  3. Step 3: Cross multiply
    525.76x = 788.76 × 213.44
  4. Step 4: Simplify right side
    525.76x = 168,348.99
  5. Step 5: Solve for x
    x = 168,348.99/525.76
  6. Step 6: Final answer
    x = 320.20

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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.