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Finding the Fourth Proportional to 527.01, 789.93 and 218.58

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Solution

The fourth proportional to 527.01, 789.93 and 218.58 is: 327.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.01 : 789.93 = 218.58 : x
  2. Step 2: Convert to fraction form
    527.01/789.93 = 218.58/x
  3. Step 3: Cross multiply
    527.01x = 789.93 × 218.58
  4. Step 4: Simplify right side
    527.01x = 172,662.90
  5. Step 5: Solve for x
    x = 172,662.90/527.01
  6. Step 6: Final answer
    x = 327.63

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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.