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Finding the Fourth Proportional to 514.64, 709.85 and 375.23

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Solution

The fourth proportional to 514.64, 709.85 and 375.23 is: 517.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.64 : 709.85 = 375.23 : x
  2. Step 2: Convert to fraction form
    514.64/709.85 = 375.23/x
  3. Step 3: Cross multiply
    514.64x = 709.85 × 375.23
  4. Step 4: Simplify right side
    514.64x = 266,359.73
  5. Step 5: Solve for x
    x = 266,359.73/514.64
  6. Step 6: Final answer
    x = 517.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.