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Finding the Fourth Proportional to 640.68, 884.67 and 405.03

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Solution

The fourth proportional to 640.68, 884.67 and 405.03 is: 559.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.68 : 884.67 = 405.03 : x
  2. Step 2: Convert to fraction form
    640.68/884.67 = 405.03/x
  3. Step 3: Cross multiply
    640.68x = 884.67 × 405.03
  4. Step 4: Simplify right side
    640.68x = 358,317.89
  5. Step 5: Solve for x
    x = 358,317.89/640.68
  6. Step 6: Final answer
    x = 559.28

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Why These Related Problems?

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