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Finding the Fourth Proportional to 495.36, 683.16 and 320.76

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Solution

The fourth proportional to 495.36, 683.16 and 320.76 is: 442.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.36 : 683.16 = 320.76 : x
  2. Step 2: Convert to fraction form
    495.36/683.16 = 320.76/x
  3. Step 3: Cross multiply
    495.36x = 683.16 × 320.76
  4. Step 4: Simplify right side
    495.36x = 219,130.40
  5. Step 5: Solve for x
    x = 219,130.40/495.36
  6. Step 6: Final answer
    x = 442.37

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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.