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Finding the Fourth Proportional to 584.58, 806.73 and 319.02

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Solution

The fourth proportional to 584.58, 806.73 and 319.02 is: 440.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.58 : 806.73 = 319.02 : x
  2. Step 2: Convert to fraction form
    584.58/806.73 = 319.02/x
  3. Step 3: Cross multiply
    584.58x = 806.73 × 319.02
  4. Step 4: Simplify right side
    584.58x = 257,363.32
  5. Step 5: Solve for x
    x = 257,363.32/584.58
  6. Step 6: Final answer
    x = 440.25

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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.