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Finding the Fourth Proportional to 375.08, 517.57 and 217.64

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Solution

The fourth proportional to 375.08, 517.57 and 217.64 is: 300.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.08 : 517.57 = 217.64 : x
  2. Step 2: Convert to fraction form
    375.08/517.57 = 217.64/x
  3. Step 3: Cross multiply
    375.08x = 517.57 × 217.64
  4. Step 4: Simplify right side
    375.08x = 112,643.93
  5. Step 5: Solve for x
    x = 112,643.93/375.08
  6. Step 6: Final answer
    x = 300.32

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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.