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Finding the Fourth Proportional to 584.73, 807.48 and 506.25

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Solution

The fourth proportional to 584.73, 807.48 and 506.25 is: 699.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.73 : 807.48 = 506.25 : x
  2. Step 2: Convert to fraction form
    584.73/807.48 = 506.25/x
  3. Step 3: Cross multiply
    584.73x = 807.48 × 506.25
  4. Step 4: Simplify right side
    584.73x = 408,786.75
  5. Step 5: Solve for x
    x = 408,786.75/584.73
  6. Step 6: Final answer
    x = 699.10

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