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Finding the Fourth Proportional to 517.75, 776.91 and 478.56

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Solution

The fourth proportional to 517.75, 776.91 and 478.56 is: 718.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.75 : 776.91 = 478.56 : x
  2. Step 2: Convert to fraction form
    517.75/776.91 = 478.56/x
  3. Step 3: Cross multiply
    517.75x = 776.91 × 478.56
  4. Step 4: Simplify right side
    517.75x = 371,798.05
  5. Step 5: Solve for x
    x = 371,798.05/517.75
  6. Step 6: Final answer
    x = 718.10

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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.