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Finding the Fourth Proportional to 491.85, 678.89 and 344.52

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Solution

The fourth proportional to 491.85, 678.89 and 344.52 is: 475.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.85 : 678.89 = 344.52 : x
  2. Step 2: Convert to fraction form
    491.85/678.89 = 344.52/x
  3. Step 3: Cross multiply
    491.85x = 678.89 × 344.52
  4. Step 4: Simplify right side
    491.85x = 233,892.04
  5. Step 5: Solve for x
    x = 233,892.04/491.85
  6. Step 6: Final answer
    x = 475.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.