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Finding the Fourth Proportional to 649.84, 974.94 and 303.16

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Solution

The fourth proportional to 649.84, 974.94 and 303.16 is: 454.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.84 : 974.94 = 303.16 : x
  2. Step 2: Convert to fraction form
    649.84/974.94 = 303.16/x
  3. Step 3: Cross multiply
    649.84x = 974.94 × 303.16
  4. Step 4: Simplify right side
    649.84x = 295,562.81
  5. Step 5: Solve for x
    x = 295,562.81/649.84
  6. Step 6: Final answer
    x = 454.82

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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.