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Finding the Fourth Proportional to 468.14, 701.55 and 345.44

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Solution

The fourth proportional to 468.14, 701.55 and 345.44 is: 517.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.14 : 701.55 = 345.44 : x
  2. Step 2: Convert to fraction form
    468.14/701.55 = 345.44/x
  3. Step 3: Cross multiply
    468.14x = 701.55 × 345.44
  4. Step 4: Simplify right side
    468.14x = 242,343.43
  5. Step 5: Solve for x
    x = 242,343.43/468.14
  6. Step 6: Final answer
    x = 517.67

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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.