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Finding the Fourth Proportional to 496.08, 683.10 and 459.63

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Solution

The fourth proportional to 496.08, 683.10 and 459.63 is: 632.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.08 : 683.10 = 459.63 : x
  2. Step 2: Convert to fraction form
    496.08/683.10 = 459.63/x
  3. Step 3: Cross multiply
    496.08x = 683.10 × 459.63
  4. Step 4: Simplify right side
    496.08x = 313,973.25
  5. Step 5: Solve for x
    x = 313,973.25/496.08
  6. Step 6: Final answer
    x = 632.91

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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.