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Finding the Fourth Proportional to 578.69, 798.70 and 421.55

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Solution

The fourth proportional to 578.69, 798.70 and 421.55 is: 581.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.69 : 798.70 = 421.55 : x
  2. Step 2: Convert to fraction form
    578.69/798.70 = 421.55/x
  3. Step 3: Cross multiply
    578.69x = 798.70 × 421.55
  4. Step 4: Simplify right side
    578.69x = 336,691.99
  5. Step 5: Solve for x
    x = 336,691.99/578.69
  6. Step 6: Final answer
    x = 581.82

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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.