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Finding the Fourth Proportional to 578.60, 868.34 and 346.77

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Solution

The fourth proportional to 578.60, 868.34 and 346.77 is: 520.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.60 : 868.34 = 346.77 : x
  2. Step 2: Convert to fraction form
    578.60/868.34 = 346.77/x
  3. Step 3: Cross multiply
    578.60x = 868.34 × 346.77
  4. Step 4: Simplify right side
    578.60x = 301,114.26
  5. Step 5: Solve for x
    x = 301,114.26/578.60
  6. Step 6: Final answer
    x = 520.42

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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.