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Finding the Fourth Proportional to 490.39, 734.86 and 316.95

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Solution

The fourth proportional to 490.39, 734.86 and 316.95 is: 474.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.39 : 734.86 = 316.95 : x
  2. Step 2: Convert to fraction form
    490.39/734.86 = 316.95/x
  3. Step 3: Cross multiply
    490.39x = 734.86 × 316.95
  4. Step 4: Simplify right side
    490.39x = 232,911.52
  5. Step 5: Solve for x
    x = 232,911.52/490.39
  6. Step 6: Final answer
    x = 474.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.