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Finding the Fourth Proportional to 495.68, 683.72 and 320.96

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Solution

The fourth proportional to 495.68, 683.72 and 320.96 is: 442.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.68 : 683.72 = 320.96 : x
  2. Step 2: Convert to fraction form
    495.68/683.72 = 320.96/x
  3. Step 3: Cross multiply
    495.68x = 683.72 × 320.96
  4. Step 4: Simplify right side
    495.68x = 219,446.77
  5. Step 5: Solve for x
    x = 219,446.77/495.68
  6. Step 6: Final answer
    x = 442.72

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Why These Related Problems?

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