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Finding the Fourth Proportional to 517.60, 775.37 and 256.81

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Solution

The fourth proportional to 517.60, 775.37 and 256.81 is: 384.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.60 : 775.37 = 256.81 : x
  2. Step 2: Convert to fraction form
    517.60/775.37 = 256.81/x
  3. Step 3: Cross multiply
    517.60x = 775.37 × 256.81
  4. Step 4: Simplify right side
    517.60x = 199,121.47
  5. Step 5: Solve for x
    x = 199,121.47/517.60
  6. Step 6: Final answer
    x = 384.70

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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.