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Finding the Fourth Proportional to 375.58, 517.68 and 277.18

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Solution

The fourth proportional to 375.58, 517.68 and 277.18 is: 382.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.58 : 517.68 = 277.18 : x
  2. Step 2: Convert to fraction form
    375.58/517.68 = 277.18/x
  3. Step 3: Cross multiply
    375.58x = 517.68 × 277.18
  4. Step 4: Simplify right side
    375.58x = 143,490.54
  5. Step 5: Solve for x
    x = 143,490.54/375.58
  6. Step 6: Final answer
    x = 382.05

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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.