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Finding the Fourth Proportional to 490.63, 677.07 and 315.98

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Solution

The fourth proportional to 490.63, 677.07 and 315.98 is: 436.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.63 : 677.07 = 315.98 : x
  2. Step 2: Convert to fraction form
    490.63/677.07 = 315.98/x
  3. Step 3: Cross multiply
    490.63x = 677.07 × 315.98
  4. Step 4: Simplify right side
    490.63x = 213,935.61
  5. Step 5: Solve for x
    x = 213,935.61/490.63
  6. Step 6: Final answer
    x = 436.05

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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.