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Finding the Fourth Proportional to 490.48, 677.19 and 397.64

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Solution

The fourth proportional to 490.48, 677.19 and 397.64 is: 549.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.48 : 677.19 = 397.64 : x
  2. Step 2: Convert to fraction form
    490.48/677.19 = 397.64/x
  3. Step 3: Cross multiply
    490.48x = 677.19 × 397.64
  4. Step 4: Simplify right side
    490.48x = 269,277.83
  5. Step 5: Solve for x
    x = 269,277.83/490.48
  6. Step 6: Final answer
    x = 549.01

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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.