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Finding the Fourth Proportional to 649.84, 897.20 and 440.04

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Solution

The fourth proportional to 649.84, 897.20 and 440.04 is: 607.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.84 : 897.20 = 440.04 : x
  2. Step 2: Convert to fraction form
    649.84/897.20 = 440.04/x
  3. Step 3: Cross multiply
    649.84x = 897.20 × 440.04
  4. Step 4: Simplify right side
    649.84x = 394,803.89
  5. Step 5: Solve for x
    x = 394,803.89/649.84
  6. Step 6: Final answer
    x = 607.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.