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Finding the Fourth Proportional to 514.13, 766.78 and 464.94

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Solution

The fourth proportional to 514.13, 766.78 and 464.94 is: 693.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.13 : 766.78 = 464.94 : x
  2. Step 2: Convert to fraction form
    514.13/766.78 = 464.94/x
  3. Step 3: Cross multiply
    514.13x = 766.78 × 464.94
  4. Step 4: Simplify right side
    514.13x = 356,505.53
  5. Step 5: Solve for x
    x = 356,505.53/514.13
  6. Step 6: Final answer
    x = 693.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.