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Finding the Fourth Proportional to 578.34, 866.67 and 289.38

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Solution

The fourth proportional to 578.34, 866.67 and 289.38 is: 433.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.34 : 866.67 = 289.38 : x
  2. Step 2: Convert to fraction form
    578.34/866.67 = 289.38/x
  3. Step 3: Cross multiply
    578.34x = 866.67 × 289.38
  4. Step 4: Simplify right side
    578.34x = 250,796.96
  5. Step 5: Solve for x
    x = 250,796.96/578.34
  6. Step 6: Final answer
    x = 433.65

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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.