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Finding the Fourth Proportional to 498.77, 685.84 and 483.39

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Solution

The fourth proportional to 498.77, 685.84 and 483.39 is: 664.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.77 : 685.84 = 483.39 : x
  2. Step 2: Convert to fraction form
    498.77/685.84 = 483.39/x
  3. Step 3: Cross multiply
    498.77x = 685.84 × 483.39
  4. Step 4: Simplify right side
    498.77x = 331,528.20
  5. Step 5: Solve for x
    x = 331,528.20/498.77
  6. Step 6: Final answer
    x = 664.69

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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.