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Finding the Fourth Proportional to 640.96, 883.66 and 419.83

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Solution

The fourth proportional to 640.96, 883.66 and 419.83 is: 578.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.96 : 883.66 = 419.83 : x
  2. Step 2: Convert to fraction form
    640.96/883.66 = 419.83/x
  3. Step 3: Cross multiply
    640.96x = 883.66 × 419.83
  4. Step 4: Simplify right side
    640.96x = 370,980.46
  5. Step 5: Solve for x
    x = 370,980.46/640.96
  6. Step 6: Final answer
    x = 578.79

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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.