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Finding the Fourth Proportional to 649.36, 974.26 and 405.60

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Solution

The fourth proportional to 649.36, 974.26 and 405.60 is: 608.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.36 : 974.26 = 405.60 : x
  2. Step 2: Convert to fraction form
    649.36/974.26 = 405.60/x
  3. Step 3: Cross multiply
    649.36x = 974.26 × 405.60
  4. Step 4: Simplify right side
    649.36x = 395,154.98
  5. Step 5: Solve for x
    x = 395,154.98/649.36
  6. Step 6: Final answer
    x = 608.53

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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.