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Finding the Fourth Proportional to 649.59, 974.35 and 320.77

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Solution

The fourth proportional to 649.59, 974.35 and 320.77 is: 481.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.59 : 974.35 = 320.77 : x
  2. Step 2: Convert to fraction form
    649.59/974.35 = 320.77/x
  3. Step 3: Cross multiply
    649.59x = 974.35 × 320.77
  4. Step 4: Simplify right side
    649.59x = 312,542.25
  5. Step 5: Solve for x
    x = 312,542.25/649.59
  6. Step 6: Final answer
    x = 481.14

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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.