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Finding the Fourth Proportional to 495.40, 683.56 and 320.88

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Solution

The fourth proportional to 495.40, 683.56 and 320.88 is: 442.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.40 : 683.56 = 320.88 : x
  2. Step 2: Convert to fraction form
    495.40/683.56 = 320.88/x
  3. Step 3: Cross multiply
    495.40x = 683.56 × 320.88
  4. Step 4: Simplify right side
    495.40x = 219,340.73
  5. Step 5: Solve for x
    x = 219,340.73/495.40
  6. Step 6: Final answer
    x = 442.75

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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.