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Finding the Fourth Proportional to 578.86, 798.34 and 431.85

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Solution

The fourth proportional to 578.86, 798.34 and 431.85 is: 595.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.86 : 798.34 = 431.85 : x
  2. Step 2: Convert to fraction form
    578.86/798.34 = 431.85/x
  3. Step 3: Cross multiply
    578.86x = 798.34 × 431.85
  4. Step 4: Simplify right side
    578.86x = 344,756.98
  5. Step 5: Solve for x
    x = 344,756.98/578.86
  6. Step 6: Final answer
    x = 595.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.