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Finding the Fourth Proportional to 649.07, 974.22 and 302.66

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Solution

The fourth proportional to 649.07, 974.22 and 302.66 is: 454.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.07 : 974.22 = 302.66 : x
  2. Step 2: Convert to fraction form
    649.07/974.22 = 302.66/x
  3. Step 3: Cross multiply
    649.07x = 974.22 × 302.66
  4. Step 4: Simplify right side
    649.07x = 294,852.55
  5. Step 5: Solve for x
    x = 294,852.55/649.07
  6. Step 6: Final answer
    x = 454.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.