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Finding the Fourth Proportional to 649.45, 974.27 and 320.40

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Solution

The fourth proportional to 649.45, 974.27 and 320.40 is: 480.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.45 : 974.27 = 320.40 : x
  2. Step 2: Convert to fraction form
    649.45/974.27 = 320.40/x
  3. Step 3: Cross multiply
    649.45x = 974.27 × 320.40
  4. Step 4: Simplify right side
    649.45x = 312,156.91
  5. Step 5: Solve for x
    x = 312,156.91/649.45
  6. Step 6: Final answer
    x = 480.65

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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.