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Finding the Fourth Proportional to 374.95, 517.43 and 209.16

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Solution

The fourth proportional to 374.95, 517.43 and 209.16 is: 288.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.95 : 517.43 = 209.16 : x
  2. Step 2: Convert to fraction form
    374.95/517.43 = 209.16/x
  3. Step 3: Cross multiply
    374.95x = 517.43 × 209.16
  4. Step 4: Simplify right side
    374.95x = 108,225.66
  5. Step 5: Solve for x
    x = 108,225.66/374.95
  6. Step 6: Final answer
    x = 288.64

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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.