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Finding the Fourth Proportional to 649.84, 896.88 and 370.02

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Solution

The fourth proportional to 649.84, 896.88 and 370.02 is: 510.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.84 : 896.88 = 370.02 : x
  2. Step 2: Convert to fraction form
    649.84/896.88 = 370.02/x
  3. Step 3: Cross multiply
    649.84x = 896.88 × 370.02
  4. Step 4: Simplify right side
    649.84x = 331,863.54
  5. Step 5: Solve for x
    x = 331,863.54/649.84
  6. Step 6: Final answer
    x = 510.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.