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Finding the Fourth Proportional to 527.06, 788.70 and 321.68

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Solution

The fourth proportional to 527.06, 788.70 and 321.68 is: 481.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.06 : 788.70 = 321.68 : x
  2. Step 2: Convert to fraction form
    527.06/788.70 = 321.68/x
  3. Step 3: Cross multiply
    527.06x = 788.70 × 321.68
  4. Step 4: Simplify right side
    527.06x = 253,709.02
  5. Step 5: Solve for x
    x = 253,709.02/527.06
  6. Step 6: Final answer
    x = 481.37

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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.