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Finding the Fourth Proportional to 453.09, 678.65 and 349.62

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Solution

The fourth proportional to 453.09, 678.65 and 349.62 is: 523.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.09 : 678.65 = 349.62 : x
  2. Step 2: Convert to fraction form
    453.09/678.65 = 349.62/x
  3. Step 3: Cross multiply
    453.09x = 678.65 × 349.62
  4. Step 4: Simplify right side
    453.09x = 237,267.86
  5. Step 5: Solve for x
    x = 237,267.86/453.09
  6. Step 6: Final answer
    x = 523.67

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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.