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Finding the Fourth Proportional to 495.05, 683.24 and 320.69

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Solution

The fourth proportional to 495.05, 683.24 and 320.69 is: 442.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.05 : 683.24 = 320.69 : x
  2. Step 2: Convert to fraction form
    495.05/683.24 = 320.69/x
  3. Step 3: Cross multiply
    495.05x = 683.24 × 320.69
  4. Step 4: Simplify right side
    495.05x = 219,108.34
  5. Step 5: Solve for x
    x = 219,108.34/495.05
  6. Step 6: Final answer
    x = 442.60

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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.