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Finding the Fourth Proportional to 578.02, 866.23 and 415.34

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Solution

The fourth proportional to 578.02, 866.23 and 415.34 is: 622.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.02 : 866.23 = 415.34 : x
  2. Step 2: Convert to fraction form
    578.02/866.23 = 415.34/x
  3. Step 3: Cross multiply
    578.02x = 866.23 × 415.34
  4. Step 4: Simplify right side
    578.02x = 359,779.97
  5. Step 5: Solve for x
    x = 359,779.97/578.02
  6. Step 6: Final answer
    x = 622.44

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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.