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Finding the Fourth Proportional to 583.00, 874.14 and 217.36

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Solution

The fourth proportional to 583.00, 874.14 and 217.36 is: 325.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.00 : 874.14 = 217.36 : x
  2. Step 2: Convert to fraction form
    583.00/874.14 = 217.36/x
  3. Step 3: Cross multiply
    583.00x = 874.14 × 217.36
  4. Step 4: Simplify right side
    583.00x = 190,002.11
  5. Step 5: Solve for x
    x = 190,002.11/583.00
  6. Step 6: Final answer
    x = 325.91

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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.