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Finding the Fourth Proportional to 490.65, 677.10 and 304.10

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Solution

The fourth proportional to 490.65, 677.10 and 304.10 is: 419.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.65 : 677.10 = 304.10 : x
  2. Step 2: Convert to fraction form
    490.65/677.10 = 304.10/x
  3. Step 3: Cross multiply
    490.65x = 677.10 × 304.10
  4. Step 4: Simplify right side
    490.65x = 205,906.11
  5. Step 5: Solve for x
    x = 205,906.11/490.65
  6. Step 6: Final answer
    x = 419.66

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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.