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Finding the Fourth Proportional to 517.73, 776.48 and 312.36

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Solution

The fourth proportional to 517.73, 776.48 and 312.36 is: 468.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.73 : 776.48 = 312.36 : x
  2. Step 2: Convert to fraction form
    517.73/776.48 = 312.36/x
  3. Step 3: Cross multiply
    517.73x = 776.48 × 312.36
  4. Step 4: Simplify right side
    517.73x = 242,541.29
  5. Step 5: Solve for x
    x = 242,541.29/517.73
  6. Step 6: Final answer
    x = 468.47

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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.