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Finding the Fourth Proportional to 526.68, 789.70 and 201.70

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Solution

The fourth proportional to 526.68, 789.70 and 201.70 is: 302.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.68 : 789.70 = 201.70 : x
  2. Step 2: Convert to fraction form
    526.68/789.70 = 201.70/x
  3. Step 3: Cross multiply
    526.68x = 789.70 × 201.70
  4. Step 4: Simplify right side
    526.68x = 159,282.49
  5. Step 5: Solve for x
    x = 159,282.49/526.68
  6. Step 6: Final answer
    x = 302.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.