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Finding the Fourth Proportional to 517.98, 776.37 and 287.01

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Solution

The fourth proportional to 517.98, 776.37 and 287.01 is: 430.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.98 : 776.37 = 287.01 : x
  2. Step 2: Convert to fraction form
    517.98/776.37 = 287.01/x
  3. Step 3: Cross multiply
    517.98x = 776.37 × 287.01
  4. Step 4: Simplify right side
    517.98x = 222,825.95
  5. Step 5: Solve for x
    x = 222,825.95/517.98
  6. Step 6: Final answer
    x = 430.18

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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.