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Finding the Fourth Proportional to 584.98, 807.44 and 349.10

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Solution

The fourth proportional to 584.98, 807.44 and 349.10 is: 481.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.98 : 807.44 = 349.10 : x
  2. Step 2: Convert to fraction form
    584.98/807.44 = 349.10/x
  3. Step 3: Cross multiply
    584.98x = 807.44 × 349.10
  4. Step 4: Simplify right side
    584.98x = 281,877.30
  5. Step 5: Solve for x
    x = 281,877.30/584.98
  6. Step 6: Final answer
    x = 481.86

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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.