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Finding the Fourth Proportional to 525.58, 788.49 and 213.18

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Solution

The fourth proportional to 525.58, 788.49 and 213.18 is: 319.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.58 : 788.49 = 213.18 : x
  2. Step 2: Convert to fraction form
    525.58/788.49 = 213.18/x
  3. Step 3: Cross multiply
    525.58x = 788.49 × 213.18
  4. Step 4: Simplify right side
    525.58x = 168,090.30
  5. Step 5: Solve for x
    x = 168,090.30/525.58
  6. Step 6: Final answer
    x = 319.82

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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.