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Finding the Fourth Proportional to 374.77, 517.18 and 209.00

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Solution

The fourth proportional to 374.77, 517.18 and 209.00 is: 288.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.77 : 517.18 = 209.00 : x
  2. Step 2: Convert to fraction form
    374.77/517.18 = 209.00/x
  3. Step 3: Cross multiply
    374.77x = 517.18 × 209.00
  4. Step 4: Simplify right side
    374.77x = 108,088.03
  5. Step 5: Solve for x
    x = 108,088.03/374.77
  6. Step 6: Final answer
    x = 288.41

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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.