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Finding the Fourth Proportional to 649.84, 974.54 and 418.98

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Solution

The fourth proportional to 649.84, 974.54 and 418.98 is: 628.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.84 : 974.54 = 418.98 : x
  2. Step 2: Convert to fraction form
    649.84/974.54 = 418.98/x
  3. Step 3: Cross multiply
    649.84x = 974.54 × 418.98
  4. Step 4: Simplify right side
    649.84x = 408,312.77
  5. Step 5: Solve for x
    x = 408,312.77/649.84
  6. Step 6: Final answer
    x = 628.33

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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.