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Finding the Fourth Proportional to 640.48, 884.22 and 514.12

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Solution

The fourth proportional to 640.48, 884.22 and 514.12 is: 709.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.48 : 884.22 = 514.12 : x
  2. Step 2: Convert to fraction form
    640.48/884.22 = 514.12/x
  3. Step 3: Cross multiply
    640.48x = 884.22 × 514.12
  4. Step 4: Simplify right side
    640.48x = 454,595.19
  5. Step 5: Solve for x
    x = 454,595.19/640.48
  6. Step 6: Final answer
    x = 709.77

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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.