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Finding the Fourth Proportional to 649.51, 974.67 and 264.76

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Solution

The fourth proportional to 649.51, 974.67 and 264.76 is: 397.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.51 : 974.67 = 264.76 : x
  2. Step 2: Convert to fraction form
    649.51/974.67 = 264.76/x
  3. Step 3: Cross multiply
    649.51x = 974.67 × 264.76
  4. Step 4: Simplify right side
    649.51x = 258,047.43
  5. Step 5: Solve for x
    x = 258,047.43/649.51
  6. Step 6: Final answer
    x = 397.30

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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.