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Finding the Fourth Proportional to 498.35, 684.79 and 404.87

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Solution

The fourth proportional to 498.35, 684.79 and 404.87 is: 556.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.35 : 684.79 = 404.87 : x
  2. Step 2: Convert to fraction form
    498.35/684.79 = 404.87/x
  3. Step 3: Cross multiply
    498.35x = 684.79 × 404.87
  4. Step 4: Simplify right side
    498.35x = 277,246.49
  5. Step 5: Solve for x
    x = 277,246.49/498.35
  6. Step 6: Final answer
    x = 556.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.