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Finding the Fourth Proportional to 578.21, 866.34 and 424.19

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Solution

The fourth proportional to 578.21, 866.34 and 424.19 is: 635.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.21 : 866.34 = 424.19 : x
  2. Step 2: Convert to fraction form
    578.21/866.34 = 424.19/x
  3. Step 3: Cross multiply
    578.21x = 866.34 × 424.19
  4. Step 4: Simplify right side
    578.21x = 367,488.43
  5. Step 5: Solve for x
    x = 367,488.43/578.21
  6. Step 6: Final answer
    x = 635.57

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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.