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Finding the Fourth Proportional to 662.50, 913.44 and 514.54

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Solution

The fourth proportional to 662.50, 913.44 and 514.54 is: 709.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.50 : 913.44 = 514.54 : x
  2. Step 2: Convert to fraction form
    662.50/913.44 = 514.54/x
  3. Step 3: Cross multiply
    662.50x = 913.44 × 514.54
  4. Step 4: Simplify right side
    662.50x = 470,001.42
  5. Step 5: Solve for x
    x = 470,001.42/662.50
  6. Step 6: Final answer
    x = 709.44

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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.