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Finding the Fourth Proportional to 496.14, 684.63 and 364.92

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Solution

The fourth proportional to 496.14, 684.63 and 364.92 is: 503.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.14 : 684.63 = 364.92 : x
  2. Step 2: Convert to fraction form
    496.14/684.63 = 364.92/x
  3. Step 3: Cross multiply
    496.14x = 684.63 × 364.92
  4. Step 4: Simplify right side
    496.14x = 249,835.18
  5. Step 5: Solve for x
    x = 249,835.18/496.14
  6. Step 6: Final answer
    x = 503.56

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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.