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Finding the Fourth Proportional to 649.84, 974.84 and 406.17

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Solution

The fourth proportional to 649.84, 974.84 and 406.17 is: 609.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.84 : 974.84 = 406.17 : x
  2. Step 2: Convert to fraction form
    649.84/974.84 = 406.17/x
  3. Step 3: Cross multiply
    649.84x = 974.84 × 406.17
  4. Step 4: Simplify right side
    649.84x = 395,950.76
  5. Step 5: Solve for x
    x = 395,950.76/649.84
  6. Step 6: Final answer
    x = 609.31

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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.