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Finding the Fourth Proportional to 584.70, 807.81 and 418.98

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Solution

The fourth proportional to 584.70, 807.81 and 418.98 is: 578.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.70 : 807.81 = 418.98 : x
  2. Step 2: Convert to fraction form
    584.70/807.81 = 418.98/x
  3. Step 3: Cross multiply
    584.70x = 807.81 × 418.98
  4. Step 4: Simplify right side
    584.70x = 338,456.23
  5. Step 5: Solve for x
    x = 338,456.23/584.70
  6. Step 6: Final answer
    x = 578.85

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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.