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Finding the Fourth Proportional to 649.40, 974.52 and 264.68

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Solution

The fourth proportional to 649.40, 974.52 and 264.68 is: 397.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.40 : 974.52 = 264.68 : x
  2. Step 2: Convert to fraction form
    649.40/974.52 = 264.68/x
  3. Step 3: Cross multiply
    649.40x = 974.52 × 264.68
  4. Step 4: Simplify right side
    649.40x = 257,935.95
  5. Step 5: Solve for x
    x = 257,935.95/649.40
  6. Step 6: Final answer
    x = 397.19

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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.