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Finding the Fourth Proportional to 492.34, 735.82 and 453.42

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Solution

The fourth proportional to 492.34, 735.82 and 453.42 is: 677.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.34 : 735.82 = 453.42 : x
  2. Step 2: Convert to fraction form
    492.34/735.82 = 453.42/x
  3. Step 3: Cross multiply
    492.34x = 735.82 × 453.42
  4. Step 4: Simplify right side
    492.34x = 333,635.50
  5. Step 5: Solve for x
    x = 333,635.50/492.34
  6. Step 6: Final answer
    x = 677.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.