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Finding the Fourth Proportional to 344.70, 509.67 and 344.70

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Solution

The fourth proportional to 344.70, 509.67 and 344.70 is: 509.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.70 : 509.67 = 344.70 : x
  2. Step 2: Convert to fraction form
    344.70/509.67 = 344.70/x
  3. Step 3: Cross multiply
    344.70x = 509.67 × 344.70
  4. Step 4: Simplify right side
    344.70x = 175,683.25
  5. Step 5: Solve for x
    x = 175,683.25/344.70
  6. Step 6: Final answer
    x = 509.67

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.