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Finding the Fourth Proportional to 452.70, 677.54 and 343.88

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Solution

The fourth proportional to 452.70, 677.54 and 343.88 is: 514.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.70 : 677.54 = 343.88 : x
  2. Step 2: Convert to fraction form
    452.70/677.54 = 343.88/x
  3. Step 3: Cross multiply
    452.70x = 677.54 × 343.88
  4. Step 4: Simplify right side
    452.70x = 232,992.46
  5. Step 5: Solve for x
    x = 232,992.46/452.70
  6. Step 6: Final answer
    x = 514.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.