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Finding the Fourth Proportional to 526.74, 789.21 and 238.38

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Solution

The fourth proportional to 526.74, 789.21 and 238.38 is: 357.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.74 : 789.21 = 238.38 : x
  2. Step 2: Convert to fraction form
    526.74/789.21 = 238.38/x
  3. Step 3: Cross multiply
    526.74x = 789.21 × 238.38
  4. Step 4: Simplify right side
    526.74x = 188,131.88
  5. Step 5: Solve for x
    x = 188,131.88/526.74
  6. Step 6: Final answer
    x = 357.16

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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.