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Finding the Fourth Proportional to 649.59, 974.49 and 302.78

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Solution

The fourth proportional to 649.59, 974.49 and 302.78 is: 454.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.59 : 974.49 = 302.78 : x
  2. Step 2: Convert to fraction form
    649.59/974.49 = 302.78/x
  3. Step 3: Cross multiply
    649.59x = 974.49 × 302.78
  4. Step 4: Simplify right side
    649.59x = 295,051.21
  5. Step 5: Solve for x
    x = 295,051.21/649.59
  6. Step 6: Final answer
    x = 454.21

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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.