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Finding the Fourth Proportional to 517.62, 776.54 and 286.39

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Solution

The fourth proportional to 517.62, 776.54 and 286.39 is: 429.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.62 : 776.54 = 286.39 : x
  2. Step 2: Convert to fraction form
    517.62/776.54 = 286.39/x
  3. Step 3: Cross multiply
    517.62x = 776.54 × 286.39
  4. Step 4: Simplify right side
    517.62x = 222,393.29
  5. Step 5: Solve for x
    x = 222,393.29/517.62
  6. Step 6: Final answer
    x = 429.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.