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Finding the Fourth Proportional to 374.72, 517.10 and 208.94

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Solution

The fourth proportional to 374.72, 517.10 and 208.94 is: 288.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.72 : 517.10 = 208.94 : x
  2. Step 2: Convert to fraction form
    374.72/517.10 = 208.94/x
  3. Step 3: Cross multiply
    374.72x = 517.10 × 208.94
  4. Step 4: Simplify right side
    374.72x = 108,039.24
  5. Step 5: Solve for x
    x = 108,039.24/374.72
  6. Step 6: Final answer
    x = 288.32

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Why These Related Problems?

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