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Finding the Fourth Proportional to 582.82, 874.63 and 217.90

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Solution

The fourth proportional to 582.82, 874.63 and 217.90 is: 327.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.82 : 874.63 = 217.90 : x
  2. Step 2: Convert to fraction form
    582.82/874.63 = 217.90/x
  3. Step 3: Cross multiply
    582.82x = 874.63 × 217.90
  4. Step 4: Simplify right side
    582.82x = 190,581.88
  5. Step 5: Solve for x
    x = 190,581.88/582.82
  6. Step 6: Final answer
    x = 327.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.