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Finding the Fourth Proportional to 496.05, 683.82 and 364.83

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Solution

The fourth proportional to 496.05, 683.82 and 364.83 is: 502.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.05 : 683.82 = 364.83 : x
  2. Step 2: Convert to fraction form
    496.05/683.82 = 364.83/x
  3. Step 3: Cross multiply
    496.05x = 683.82 × 364.83
  4. Step 4: Simplify right side
    496.05x = 249,478.05
  5. Step 5: Solve for x
    x = 249,478.05/496.05
  6. Step 6: Final answer
    x = 502.93

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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.