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Finding the Fourth Proportional to 375.16, 517.63 and 217.77

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Solution

The fourth proportional to 375.16, 517.63 and 217.77 is: 300.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.16 : 517.63 = 217.77 : x
  2. Step 2: Convert to fraction form
    375.16/517.63 = 217.77/x
  3. Step 3: Cross multiply
    375.16x = 517.63 × 217.77
  4. Step 4: Simplify right side
    375.16x = 112,724.29
  5. Step 5: Solve for x
    x = 112,724.29/375.16
  6. Step 6: Final answer
    x = 300.47

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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.