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Finding the Fourth Proportional to 526.56, 789.72 and 201.76

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Solution

The fourth proportional to 526.56, 789.72 and 201.76 is: 302.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.56 : 789.72 = 201.76 : x
  2. Step 2: Convert to fraction form
    526.56/789.72 = 201.76/x
  3. Step 3: Cross multiply
    526.56x = 789.72 × 201.76
  4. Step 4: Simplify right side
    526.56x = 159,333.91
  5. Step 5: Solve for x
    x = 159,333.91/526.56
  6. Step 6: Final answer
    x = 302.59

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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.